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Finding the Fourth Proportional to 964.60, 1,446.90 and 575.80

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Solution

The fourth proportional to 964.60, 1,446.90 and 575.80 is: 863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.60 : 1,446.90 = 575.80 : x
  2. Step 2: Convert to fraction form
    964.60/1,446.90 = 575.80/x
  3. Step 3: Cross multiply
    964.60x = 1,446.90 × 575.80
  4. Step 4: Simplify right side
    964.60x = 833,125.02
  5. Step 5: Solve for x
    x = 833,125.02/964.60
  6. Step 6: Final answer
    x = 863.70

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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.