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Finding the Fourth Proportional to 870.66, 1,200.43 and 575.46

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Solution

The fourth proportional to 870.66, 1,200.43 and 575.46 is: 793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.66 : 1,200.43 = 575.46 : x
  2. Step 2: Convert to fraction form
    870.66/1,200.43 = 575.46/x
  3. Step 3: Cross multiply
    870.66x = 1,200.43 × 575.46
  4. Step 4: Simplify right side
    870.66x = 690,799.45
  5. Step 5: Solve for x
    x = 690,799.45/870.66
  6. Step 6: Final answer
    x = 793.42

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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.