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Finding the Fourth Proportional to 1,074.71, 1,612.08 and 381.27

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Solution

The fourth proportional to 1,074.71, 1,612.08 and 381.27 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.71 : 1,612.08 = 381.27 : x
  2. Step 2: Convert to fraction form
    1,074.71/1,612.08 = 381.27/x
  3. Step 3: Cross multiply
    1,074.71x = 1,612.08 × 381.27
  4. Step 4: Simplify right side
    1,074.71x = 614,637.74
  5. Step 5: Solve for x
    x = 614,637.74/1,074.71
  6. Step 6: Final answer
    x = 571.91

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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.