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Finding the Fourth Proportional to 1,411.62, 2,117.43 and 437.73

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Solution

The fourth proportional to 1,411.62, 2,117.43 and 437.73 is: 656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.62 : 2,117.43 = 437.73 : x
  2. Step 2: Convert to fraction form
    1,411.62/2,117.43 = 437.73/x
  3. Step 3: Cross multiply
    1,411.62x = 2,117.43 × 437.73
  4. Step 4: Simplify right side
    1,411.62x = 926,862.63
  5. Step 5: Solve for x
    x = 926,862.63/1,411.62
  6. Step 6: Final answer
    x = 656.60

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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.