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Finding the Fourth Proportional to 712.71, 983.54 and 432.87

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Solution

The fourth proportional to 712.71, 983.54 and 432.87 is: 597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 983.54 = 432.87 : x
  2. Step 2: Convert to fraction form
    712.71/983.54 = 432.87/x
  3. Step 3: Cross multiply
    712.71x = 983.54 × 432.87
  4. Step 4: Simplify right side
    712.71x = 425,744.96
  5. Step 5: Solve for x
    x = 425,744.96/712.71
  6. Step 6: Final answer
    x = 597.36

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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.