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Finding the Fourth Proportional to 729.24, 1,005.90 and 552.12

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Solution

The fourth proportional to 729.24, 1,005.90 and 552.12 is: 761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.24 : 1,005.90 = 552.12 : x
  2. Step 2: Convert to fraction form
    729.24/1,005.90 = 552.12/x
  3. Step 3: Cross multiply
    729.24x = 1,005.90 × 552.12
  4. Step 4: Simplify right side
    729.24x = 555,377.51
  5. Step 5: Solve for x
    x = 555,377.51/729.24
  6. Step 6: Final answer
    x = 761.58

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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.