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Finding the Fourth Proportional to 962.52, 1,444.14 and 578.04

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Solution

The fourth proportional to 962.52, 1,444.14 and 578.04 is: 867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.52 : 1,444.14 = 578.04 : x
  2. Step 2: Convert to fraction form
    962.52/1,444.14 = 578.04/x
  3. Step 3: Cross multiply
    962.52x = 1,444.14 × 578.04
  4. Step 4: Simplify right side
    962.52x = 834,770.69
  5. Step 5: Solve for x
    x = 834,770.69/962.52
  6. Step 6: Final answer
    x = 867.28

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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.