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Finding the Fourth Proportional to 1,382.90, 2,073.74 and 560.88

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Solution

The fourth proportional to 1,382.90, 2,073.74 and 560.88 is: 841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.90 : 2,073.74 = 560.88 : x
  2. Step 2: Convert to fraction form
    1,382.90/2,073.74 = 560.88/x
  3. Step 3: Cross multiply
    1,382.90x = 2,073.74 × 560.88
  4. Step 4: Simplify right side
    1,382.90x = 1,163,116.49
  5. Step 5: Solve for x
    x = 1,163,116.49/1,382.90
  6. Step 6: Final answer
    x = 841.07

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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.