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Finding the Fourth Proportional to 735.17, 1,101.56 and 503.27

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Solution

The fourth proportional to 735.17, 1,101.56 and 503.27 is: 754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.17 : 1,101.56 = 503.27 : x
  2. Step 2: Convert to fraction form
    735.17/1,101.56 = 503.27/x
  3. Step 3: Cross multiply
    735.17x = 1,101.56 × 503.27
  4. Step 4: Simplify right side
    735.17x = 554,374.08
  5. Step 5: Solve for x
    x = 554,374.08/735.17
  6. Step 6: Final answer
    x = 754.08

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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.