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Finding the Fourth Proportional to 1,074.70, 1,612.41 and 381.48

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Solution

The fourth proportional to 1,074.70, 1,612.41 and 381.48 is: 572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.70 : 1,612.41 = 381.48 : x
  2. Step 2: Convert to fraction form
    1,074.70/1,612.41 = 381.48/x
  3. Step 3: Cross multiply
    1,074.70x = 1,612.41 × 381.48
  4. Step 4: Simplify right side
    1,074.70x = 615,102.17
  5. Step 5: Solve for x
    x = 615,102.17/1,074.70
  6. Step 6: Final answer
    x = 572.35

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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.