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Finding the Fourth Proportional to 712.48, 1,066.65 and 437.74

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Solution

The fourth proportional to 712.48, 1,066.65 and 437.74 is: 655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.48 : 1,066.65 = 437.74 : x
  2. Step 2: Convert to fraction form
    712.48/1,066.65 = 437.74/x
  3. Step 3: Cross multiply
    712.48x = 1,066.65 × 437.74
  4. Step 4: Simplify right side
    712.48x = 466,915.37
  5. Step 5: Solve for x
    x = 466,915.37/712.48
  6. Step 6: Final answer
    x = 655.34

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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.