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Finding the Fourth Proportional to 1,044.50, 1,564.11 and 556.47

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Solution

The fourth proportional to 1,044.50, 1,564.11 and 556.47 is: 833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.50 : 1,564.11 = 556.47 : x
  2. Step 2: Convert to fraction form
    1,044.50/1,564.11 = 556.47/x
  3. Step 3: Cross multiply
    1,044.50x = 1,564.11 × 556.47
  4. Step 4: Simplify right side
    1,044.50x = 870,380.29
  5. Step 5: Solve for x
    x = 870,380.29/1,044.50
  6. Step 6: Final answer
    x = 833.30

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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.