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Finding the Fourth Proportional to 871.45, 1,202.64 and 576.20

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Solution

The fourth proportional to 871.45, 1,202.64 and 576.20 is: 795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.45 : 1,202.64 = 576.20 : x
  2. Step 2: Convert to fraction form
    871.45/1,202.64 = 576.20/x
  3. Step 3: Cross multiply
    871.45x = 1,202.64 × 576.20
  4. Step 4: Simplify right side
    871.45x = 692,961.17
  5. Step 5: Solve for x
    x = 692,961.17/871.45
  6. Step 6: Final answer
    x = 795.18

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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.