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Finding the Fourth Proportional to 1,310.79, 1,966.37 and 445.17

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Solution

The fourth proportional to 1,310.79, 1,966.37 and 445.17 is: 667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.79 : 1,966.37 = 445.17 : x
  2. Step 2: Convert to fraction form
    1,310.79/1,966.37 = 445.17/x
  3. Step 3: Cross multiply
    1,310.79x = 1,966.37 × 445.17
  4. Step 4: Simplify right side
    1,310.79x = 875,366.71
  5. Step 5: Solve for x
    x = 875,366.71/1,310.79
  6. Step 6: Final answer
    x = 667.82

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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.