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Finding the Fourth Proportional to 968.88, 1,453.68 and 584.40

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Solution

The fourth proportional to 968.88, 1,453.68 and 584.40 is: 876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.88 : 1,453.68 = 584.40 : x
  2. Step 2: Convert to fraction form
    968.88/1,453.68 = 584.40/x
  3. Step 3: Cross multiply
    968.88x = 1,453.68 × 584.40
  4. Step 4: Simplify right side
    968.88x = 849,530.59
  5. Step 5: Solve for x
    x = 849,530.59/968.88
  6. Step 6: Final answer
    x = 876.82

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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.