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Finding the Fourth Proportional to 1,005.61, 1,508.55 and 381.14

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Solution

The fourth proportional to 1,005.61, 1,508.55 and 381.14 is: 571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.61 : 1,508.55 = 381.14 : x
  2. Step 2: Convert to fraction form
    1,005.61/1,508.55 = 381.14/x
  3. Step 3: Cross multiply
    1,005.61x = 1,508.55 × 381.14
  4. Step 4: Simplify right side
    1,005.61x = 574,968.75
  5. Step 5: Solve for x
    x = 574,968.75/1,005.61
  6. Step 6: Final answer
    x = 571.76

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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.