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Finding the Fourth Proportional to 649.60, 974.40 and 643.20

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Solution

The fourth proportional to 649.60, 974.40 and 643.20 is: 964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 974.40 = 643.20 : x
  2. Step 2: Convert to fraction form
    649.60/974.40 = 643.20/x
  3. Step 3: Cross multiply
    649.60x = 974.40 × 643.20
  4. Step 4: Simplify right side
    649.60x = 626,734.08
  5. Step 5: Solve for x
    x = 626,734.08/649.60
  6. Step 6: Final answer
    x = 964.80

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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.