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Finding the Fourth Proportional to 1,310.98, 1,966.74 and 580.18

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Solution

The fourth proportional to 1,310.98, 1,966.74 and 580.18 is: 870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.98 : 1,966.74 = 580.18 : x
  2. Step 2: Convert to fraction form
    1,310.98/1,966.74 = 580.18/x
  3. Step 3: Cross multiply
    1,310.98x = 1,966.74 × 580.18
  4. Step 4: Simplify right side
    1,310.98x = 1,141,063.21
  5. Step 5: Solve for x
    x = 1,141,063.21/1,310.98
  6. Step 6: Final answer
    x = 870.39

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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.