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Finding the Fourth Proportional to 953.46, 1,430.19 and 491.15

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Solution

The fourth proportional to 953.46, 1,430.19 and 491.15 is: 736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.46 : 1,430.19 = 491.15 : x
  2. Step 2: Convert to fraction form
    953.46/1,430.19 = 491.15/x
  3. Step 3: Cross multiply
    953.46x = 1,430.19 × 491.15
  4. Step 4: Simplify right side
    953.46x = 702,441.39
  5. Step 5: Solve for x
    x = 702,441.39/953.46
  6. Step 6: Final answer
    x = 736.73

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.