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Finding the Fourth Proportional to 1,411.43, 2,117.57 and 437.54

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Solution

The fourth proportional to 1,411.43, 2,117.57 and 437.54 is: 656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.43 : 2,117.57 = 437.54 : x
  2. Step 2: Convert to fraction form
    1,411.43/2,117.57 = 437.54/x
  3. Step 3: Cross multiply
    1,411.43x = 2,117.57 × 437.54
  4. Step 4: Simplify right side
    1,411.43x = 926,508.80
  5. Step 5: Solve for x
    x = 926,508.80/1,411.43
  6. Step 6: Final answer
    x = 656.44

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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.