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Finding the Fourth Proportional to 1,034.52, 1,549.32 and 870.88

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Solution

The fourth proportional to 1,034.52, 1,549.32 and 870.88 is: 1,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.52 : 1,549.32 = 870.88 : x
  2. Step 2: Convert to fraction form
    1,034.52/1,549.32 = 870.88/x
  3. Step 3: Cross multiply
    1,034.52x = 1,549.32 × 870.88
  4. Step 4: Simplify right side
    1,034.52x = 1,349,271.80
  5. Step 5: Solve for x
    x = 1,349,271.80/1,034.52
  6. Step 6: Final answer
    x = 1,304.25

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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.