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Finding the Fourth Proportional to 1,374.38, 2,061.59 and 400.58

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Solution

The fourth proportional to 1,374.38, 2,061.59 and 400.58 is: 600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.38 : 2,061.59 = 400.58 : x
  2. Step 2: Convert to fraction form
    1,374.38/2,061.59 = 400.58/x
  3. Step 3: Cross multiply
    1,374.38x = 2,061.59 × 400.58
  4. Step 4: Simplify right side
    1,374.38x = 825,831.72
  5. Step 5: Solve for x
    x = 825,831.72/1,374.38
  6. Step 6: Final answer
    x = 600.88

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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.