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Finding the Fourth Proportional to 1,310.01, 1,962.27 and 580.08

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Solution

The fourth proportional to 1,310.01, 1,962.27 and 580.08 is: 868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.01 : 1,962.27 = 580.08 : x
  2. Step 2: Convert to fraction form
    1,310.01/1,962.27 = 580.08/x
  3. Step 3: Cross multiply
    1,310.01x = 1,962.27 × 580.08
  4. Step 4: Simplify right side
    1,310.01x = 1,138,273.58
  5. Step 5: Solve for x
    x = 1,138,273.58/1,310.01
  6. Step 6: Final answer
    x = 868.90

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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.