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Finding the Fourth Proportional to 1,032.68, 1,549.17 and 642.35

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Solution

The fourth proportional to 1,032.68, 1,549.17 and 642.35 is: 963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.68 : 1,549.17 = 642.35 : x
  2. Step 2: Convert to fraction form
    1,032.68/1,549.17 = 642.35/x
  3. Step 3: Cross multiply
    1,032.68x = 1,549.17 × 642.35
  4. Step 4: Simplify right side
    1,032.68x = 995,113.22
  5. Step 5: Solve for x
    x = 995,113.22/1,032.68
  6. Step 6: Final answer
    x = 963.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.