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Finding the Fourth Proportional to 1,230.80, 1,844.58 and 580.91

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Solution

The fourth proportional to 1,230.80, 1,844.58 and 580.91 is: 870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.80 : 1,844.58 = 580.91 : x
  2. Step 2: Convert to fraction form
    1,230.80/1,844.58 = 580.91/x
  3. Step 3: Cross multiply
    1,230.80x = 1,844.58 × 580.91
  4. Step 4: Simplify right side
    1,230.80x = 1,071,534.97
  5. Step 5: Solve for x
    x = 1,071,534.97/1,230.80
  6. Step 6: Final answer
    x = 870.60

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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.