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Finding the Fourth Proportional to 732.30, 1,011.51 and 546.18

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Solution

The fourth proportional to 732.30, 1,011.51 and 546.18 is: 754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.30 : 1,011.51 = 546.18 : x
  2. Step 2: Convert to fraction form
    732.30/1,011.51 = 546.18/x
  3. Step 3: Cross multiply
    732.30x = 1,011.51 × 546.18
  4. Step 4: Simplify right side
    732.30x = 552,466.53
  5. Step 5: Solve for x
    x = 552,466.53/732.30
  6. Step 6: Final answer
    x = 754.43

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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.