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Finding the Fourth Proportional to 642.98, 962.66 and 535.16

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Solution

The fourth proportional to 642.98, 962.66 and 535.16 is: 801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.98 : 962.66 = 535.16 : x
  2. Step 2: Convert to fraction form
    642.98/962.66 = 535.16/x
  3. Step 3: Cross multiply
    642.98x = 962.66 × 535.16
  4. Step 4: Simplify right side
    642.98x = 515,177.13
  5. Step 5: Solve for x
    x = 515,177.13/642.98
  6. Step 6: Final answer
    x = 801.23

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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.