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Finding the Fourth Proportional to 1,132.43, 1,698.05 and 438.32

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Solution

The fourth proportional to 1,132.43, 1,698.05 and 438.32 is: 657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.43 : 1,698.05 = 438.32 : x
  2. Step 2: Convert to fraction form
    1,132.43/1,698.05 = 438.32/x
  3. Step 3: Cross multiply
    1,132.43x = 1,698.05 × 438.32
  4. Step 4: Simplify right side
    1,132.43x = 744,294.62
  5. Step 5: Solve for x
    x = 744,294.62/1,132.43
  6. Step 6: Final answer
    x = 657.26

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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.