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Finding the Fourth Proportional to 1,128.88, 1,691.64 and 821.32

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Solution

The fourth proportional to 1,128.88, 1,691.64 and 821.32 is: 1,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.88 : 1,691.64 = 821.32 : x
  2. Step 2: Convert to fraction form
    1,128.88/1,691.64 = 821.32/x
  3. Step 3: Cross multiply
    1,128.88x = 1,691.64 × 821.32
  4. Step 4: Simplify right side
    1,128.88x = 1,389,377.76
  5. Step 5: Solve for x
    x = 1,389,377.76/1,128.88
  6. Step 6: Final answer
    x = 1,230.76

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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.