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Finding the Fourth Proportional to 1,001.78, 1,503.17 and 591.72

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Solution

The fourth proportional to 1,001.78, 1,503.17 and 591.72 is: 887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.78 : 1,503.17 = 591.72 : x
  2. Step 2: Convert to fraction form
    1,001.78/1,503.17 = 591.72/x
  3. Step 3: Cross multiply
    1,001.78x = 1,503.17 × 591.72
  4. Step 4: Simplify right side
    1,001.78x = 889,455.75
  5. Step 5: Solve for x
    x = 889,455.75/1,001.78
  6. Step 6: Final answer
    x = 887.88

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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.