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Finding the Fourth Proportional to 723.48, 1,085.62 and 609.28

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Solution

The fourth proportional to 723.48, 1,085.62 and 609.28 is: 914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.48 : 1,085.62 = 609.28 : x
  2. Step 2: Convert to fraction form
    723.48/1,085.62 = 609.28/x
  3. Step 3: Cross multiply
    723.48x = 1,085.62 × 609.28
  4. Step 4: Simplify right side
    723.48x = 661,446.55
  5. Step 5: Solve for x
    x = 661,446.55/723.48
  6. Step 6: Final answer
    x = 914.26

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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.