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Finding the Fourth Proportional to 1,049.72, 1,575.65 and 587.88

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Solution

The fourth proportional to 1,049.72, 1,575.65 and 587.88 is: 882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.72 : 1,575.65 = 587.88 : x
  2. Step 2: Convert to fraction form
    1,049.72/1,575.65 = 587.88/x
  3. Step 3: Cross multiply
    1,049.72x = 1,575.65 × 587.88
  4. Step 4: Simplify right side
    1,049.72x = 926,290.18
  5. Step 5: Solve for x
    x = 926,290.18/1,049.72
  6. Step 6: Final answer
    x = 882.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.