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Finding the Fourth Proportional to 649.80, 973.35 and 487.26

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Solution

The fourth proportional to 649.80, 973.35 and 487.26 is: 729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 973.35 = 487.26 : x
  2. Step 2: Convert to fraction form
    649.80/973.35 = 487.26/x
  3. Step 3: Cross multiply
    649.80x = 973.35 × 487.26
  4. Step 4: Simplify right side
    649.80x = 474,274.52
  5. Step 5: Solve for x
    x = 474,274.52/649.80
  6. Step 6: Final answer
    x = 729.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.