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Finding the Fourth Proportional to 1,044.74, 1,566.56 and 496.64

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Solution

The fourth proportional to 1,044.74, 1,566.56 and 496.64 is: 744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.74 : 1,566.56 = 496.64 : x
  2. Step 2: Convert to fraction form
    1,044.74/1,566.56 = 496.64/x
  3. Step 3: Cross multiply
    1,044.74x = 1,566.56 × 496.64
  4. Step 4: Simplify right side
    1,044.74x = 778,016.36
  5. Step 5: Solve for x
    x = 778,016.36/1,044.74
  6. Step 6: Final answer
    x = 744.70

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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.