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Finding the Fourth Proportional to 820.02, 1,131.35 and 465.90

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Solution

The fourth proportional to 820.02, 1,131.35 and 465.90 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,131.35 = 465.90 : x
  2. Step 2: Convert to fraction form
    820.02/1,131.35 = 465.90/x
  3. Step 3: Cross multiply
    820.02x = 1,131.35 × 465.90
  4. Step 4: Simplify right side
    820.02x = 527,095.97
  5. Step 5: Solve for x
    x = 527,095.97/820.02
  6. Step 6: Final answer
    x = 642.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.