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Finding the Fourth Proportional to 830.40, 1,145.96 and 457.38

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Solution

The fourth proportional to 830.40, 1,145.96 and 457.38 is: 631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.40 : 1,145.96 = 457.38 : x
  2. Step 2: Convert to fraction form
    830.40/1,145.96 = 457.38/x
  3. Step 3: Cross multiply
    830.40x = 1,145.96 × 457.38
  4. Step 4: Simplify right side
    830.40x = 524,138.40
  5. Step 5: Solve for x
    x = 524,138.40/830.40
  6. Step 6: Final answer
    x = 631.19

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.