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Finding the Fourth Proportional to 1,149.82, 1,587.28 and 772.36

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Solution

The fourth proportional to 1,149.82, 1,587.28 and 772.36 is: 1,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.82 : 1,587.28 = 772.36 : x
  2. Step 2: Convert to fraction form
    1,149.82/1,587.28 = 772.36/x
  3. Step 3: Cross multiply
    1,149.82x = 1,587.28 × 772.36
  4. Step 4: Simplify right side
    1,149.82x = 1,225,951.58
  5. Step 5: Solve for x
    x = 1,225,951.58/1,149.82
  6. Step 6: Final answer
    x = 1,066.21

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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.