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Finding the Fourth Proportional to 1,034.00, 1,549.19 and 861.77

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Solution

The fourth proportional to 1,034.00, 1,549.19 and 861.77 is: 1,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.00 : 1,549.19 = 861.77 : x
  2. Step 2: Convert to fraction form
    1,034.00/1,549.19 = 861.77/x
  3. Step 3: Cross multiply
    1,034.00x = 1,549.19 × 861.77
  4. Step 4: Simplify right side
    1,034.00x = 1,335,033.41
  5. Step 5: Solve for x
    x = 1,335,033.41/1,034.00
  6. Step 6: Final answer
    x = 1,291.14

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Why These Related Problems?

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