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Finding the Fourth Proportional to 729.77, 1,001.69 and 649.32

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Solution

The fourth proportional to 729.77, 1,001.69 and 649.32 is: 891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.77 : 1,001.69 = 649.32 : x
  2. Step 2: Convert to fraction form
    729.77/1,001.69 = 649.32/x
  3. Step 3: Cross multiply
    729.77x = 1,001.69 × 649.32
  4. Step 4: Simplify right side
    729.77x = 650,414.10
  5. Step 5: Solve for x
    x = 650,414.10/729.77
  6. Step 6: Final answer
    x = 891.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.