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Finding the Fourth Proportional to 712.77, 983.35 and 432.82

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Solution

The fourth proportional to 712.77, 983.35 and 432.82 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.77 : 983.35 = 432.82 : x
  2. Step 2: Convert to fraction form
    712.77/983.35 = 432.82/x
  3. Step 3: Cross multiply
    712.77x = 983.35 × 432.82
  4. Step 4: Simplify right side
    712.77x = 425,610.01
  5. Step 5: Solve for x
    x = 425,610.01/712.77
  6. Step 6: Final answer
    x = 597.12

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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.