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Finding the Fourth Proportional to 642.02, 963.64 and 602.23

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Solution

The fourth proportional to 642.02, 963.64 and 602.23 is: 903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 963.64 = 602.23 : x
  2. Step 2: Convert to fraction form
    642.02/963.64 = 602.23/x
  3. Step 3: Cross multiply
    642.02x = 963.64 × 602.23
  4. Step 4: Simplify right side
    642.02x = 580,332.92
  5. Step 5: Solve for x
    x = 580,332.92/642.02
  6. Step 6: Final answer
    x = 903.92

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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.