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Finding the Fourth Proportional to 968.46, 1,449.98 and 505.24

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Solution

The fourth proportional to 968.46, 1,449.98 and 505.24 is: 756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.46 : 1,449.98 = 505.24 : x
  2. Step 2: Convert to fraction form
    968.46/1,449.98 = 505.24/x
  3. Step 3: Cross multiply
    968.46x = 1,449.98 × 505.24
  4. Step 4: Simplify right side
    968.46x = 732,587.90
  5. Step 5: Solve for x
    x = 732,587.90/968.46
  6. Step 6: Final answer
    x = 756.45

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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.