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Finding the Fourth Proportional to 1,044.50, 1,560.63 and 1,008.17

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Solution

The fourth proportional to 1,044.50, 1,560.63 and 1,008.17 is: 1,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.50 : 1,560.63 = 1,008.17 : x
  2. Step 2: Convert to fraction form
    1,044.50/1,560.63 = 1,008.17/x
  3. Step 3: Cross multiply
    1,044.50x = 1,560.63 × 1,008.17
  4. Step 4: Simplify right side
    1,044.50x = 1,573,380.35
  5. Step 5: Solve for x
    x = 1,573,380.35/1,044.50
  6. Step 6: Final answer
    x = 1,506.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.