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Finding the Fourth Proportional to 962.25, 1,443.52 and 500.58

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Solution

The fourth proportional to 962.25, 1,443.52 and 500.58 is: 750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 1,443.52 = 500.58 : x
  2. Step 2: Convert to fraction form
    962.25/1,443.52 = 500.58/x
  3. Step 3: Cross multiply
    962.25x = 1,443.52 × 500.58
  4. Step 4: Simplify right side
    962.25x = 722,597.87
  5. Step 5: Solve for x
    x = 722,597.87/962.25
  6. Step 6: Final answer
    x = 750.95

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Why These Related Problems?

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