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Finding the Fourth Proportional to 1,111.92, 1,668.15 and 381.84

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Solution

The fourth proportional to 1,111.92, 1,668.15 and 381.84 is: 572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.92 : 1,668.15 = 381.84 : x
  2. Step 2: Convert to fraction form
    1,111.92/1,668.15 = 381.84/x
  3. Step 3: Cross multiply
    1,111.92x = 1,668.15 × 381.84
  4. Step 4: Simplify right side
    1,111.92x = 636,966.40
  5. Step 5: Solve for x
    x = 636,966.40/1,111.92
  6. Step 6: Final answer
    x = 572.85

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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.