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Finding the Fourth Proportional to 1,411.38, 2,117.48 and 437.49

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Solution

The fourth proportional to 1,411.38, 2,117.48 and 437.49 is: 656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.38 : 2,117.48 = 437.49 : x
  2. Step 2: Convert to fraction form
    1,411.38/2,117.48 = 437.49/x
  3. Step 3: Cross multiply
    1,411.38x = 2,117.48 × 437.49
  4. Step 4: Simplify right side
    1,411.38x = 926,374.14
  5. Step 5: Solve for x
    x = 926,374.14/1,411.38
  6. Step 6: Final answer
    x = 656.36

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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.