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Finding the Fourth Proportional to 1,154.19, 1,591.98 and 712.34

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Solution

The fourth proportional to 1,154.19, 1,591.98 and 712.34 is: 982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.19 : 1,591.98 = 712.34 : x
  2. Step 2: Convert to fraction form
    1,154.19/1,591.98 = 712.34/x
  3. Step 3: Cross multiply
    1,154.19x = 1,591.98 × 712.34
  4. Step 4: Simplify right side
    1,154.19x = 1,134,023.07
  5. Step 5: Solve for x
    x = 1,134,023.07/1,154.19
  6. Step 6: Final answer
    x = 982.53

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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.