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Finding the Fourth Proportional to 733.13, 1,010.95 and 546.32

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Solution

The fourth proportional to 733.13, 1,010.95 and 546.32 is: 753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.13 : 1,010.95 = 546.32 : x
  2. Step 2: Convert to fraction form
    733.13/1,010.95 = 546.32/x
  3. Step 3: Cross multiply
    733.13x = 1,010.95 × 546.32
  4. Step 4: Simplify right side
    733.13x = 552,302.20
  5. Step 5: Solve for x
    x = 552,302.20/733.13
  6. Step 6: Final answer
    x = 753.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.