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Finding the Fourth Proportional to 1,044.54, 1,566.97 and 496.42

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Solution

The fourth proportional to 1,044.54, 1,566.97 and 496.42 is: 744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.54 : 1,566.97 = 496.42 : x
  2. Step 2: Convert to fraction form
    1,044.54/1,566.97 = 496.42/x
  3. Step 3: Cross multiply
    1,044.54x = 1,566.97 × 496.42
  4. Step 4: Simplify right side
    1,044.54x = 777,875.25
  5. Step 5: Solve for x
    x = 777,875.25/1,044.54
  6. Step 6: Final answer
    x = 744.71

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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.