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Finding the Fourth Proportional to 1,132.32, 1,697.96 and 438.44

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Solution

The fourth proportional to 1,132.32, 1,697.96 and 438.44 is: 657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.32 : 1,697.96 = 438.44 : x
  2. Step 2: Convert to fraction form
    1,132.32/1,697.96 = 438.44/x
  3. Step 3: Cross multiply
    1,132.32x = 1,697.96 × 438.44
  4. Step 4: Simplify right side
    1,132.32x = 744,453.58
  5. Step 5: Solve for x
    x = 744,453.58/1,132.32
  6. Step 6: Final answer
    x = 657.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.