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Finding the Fourth Proportional to 968.97, 1,449.81 and 577.53

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Solution

The fourth proportional to 968.97, 1,449.81 and 577.53 is: 864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.97 : 1,449.81 = 577.53 : x
  2. Step 2: Convert to fraction form
    968.97/1,449.81 = 577.53/x
  3. Step 3: Cross multiply
    968.97x = 1,449.81 × 577.53
  4. Step 4: Simplify right side
    968.97x = 837,308.77
  5. Step 5: Solve for x
    x = 837,308.77/968.97
  6. Step 6: Final answer
    x = 864.12

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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.