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Finding the Fourth Proportional to 1,034.20, 1,549.88 and 595.58

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Solution

The fourth proportional to 1,034.20, 1,549.88 and 595.58 is: 892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.20 : 1,549.88 = 595.58 : x
  2. Step 2: Convert to fraction form
    1,034.20/1,549.88 = 595.58/x
  3. Step 3: Cross multiply
    1,034.20x = 1,549.88 × 595.58
  4. Step 4: Simplify right side
    1,034.20x = 923,074.55
  5. Step 5: Solve for x
    x = 923,074.55/1,034.20
  6. Step 6: Final answer
    x = 892.55

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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.