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Finding the Fourth Proportional to 962.25, 1,443.82 and 573.02

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Solution

The fourth proportional to 962.25, 1,443.82 and 573.02 is: 859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 1,443.82 = 573.02 : x
  2. Step 2: Convert to fraction form
    962.25/1,443.82 = 573.02/x
  3. Step 3: Cross multiply
    962.25x = 1,443.82 × 573.02
  4. Step 4: Simplify right side
    962.25x = 827,337.74
  5. Step 5: Solve for x
    x = 827,337.74/962.25
  6. Step 6: Final answer
    x = 859.79

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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.