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Finding the Fourth Proportional to 862, 1,298.21 and 765.72

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Solution

The fourth proportional to 862, 1,298.21 and 765.72 is: 1,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862 : 1,298.21 = 765.72 : x
  2. Step 2: Convert to fraction form
    862/1,298.21 = 765.72/x
  3. Step 3: Cross multiply
    862x = 1,298.21 × 765.72
  4. Step 4: Simplify right side
    862x = 994,065.36
  5. Step 5: Solve for x
    x = 994,065.36/862
  6. Step 6: Final answer
    x = 1,153.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.