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Finding the Fourth Proportional to 1,000.71, 1,380.97 and 581.30

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Solution

The fourth proportional to 1,000.71, 1,380.97 and 581.30 is: 802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.71 : 1,380.97 = 581.30 : x
  2. Step 2: Convert to fraction form
    1,000.71/1,380.97 = 581.30/x
  3. Step 3: Cross multiply
    1,000.71x = 1,380.97 × 581.30
  4. Step 4: Simplify right side
    1,000.71x = 802,760.54
  5. Step 5: Solve for x
    x = 802,760.54/1,000.71
  6. Step 6: Final answer
    x = 802.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.