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Finding the Fourth Proportional to 1,132.23, 1,697.66 and 438.31

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Solution

The fourth proportional to 1,132.23, 1,697.66 and 438.31 is: 657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.23 : 1,697.66 = 438.31 : x
  2. Step 2: Convert to fraction form
    1,132.23/1,697.66 = 438.31/x
  3. Step 3: Cross multiply
    1,132.23x = 1,697.66 × 438.31
  4. Step 4: Simplify right side
    1,132.23x = 744,099.16
  5. Step 5: Solve for x
    x = 744,099.16/1,132.23
  6. Step 6: Final answer
    x = 657.20

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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.