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Finding the Fourth Proportional to 1,041.87, 1,437.86 and 593.88

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Solution

The fourth proportional to 1,041.87, 1,437.86 and 593.88 is: 819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.87 : 1,437.86 = 593.88 : x
  2. Step 2: Convert to fraction form
    1,041.87/1,437.86 = 593.88/x
  3. Step 3: Cross multiply
    1,041.87x = 1,437.86 × 593.88
  4. Step 4: Simplify right side
    1,041.87x = 853,916.30
  5. Step 5: Solve for x
    x = 853,916.30/1,041.87
  6. Step 6: Final answer
    x = 819.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.