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Finding the Fourth Proportional to 902.88, 1,356.15 and 538.38

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Solution

The fourth proportional to 902.88, 1,356.15 and 538.38 is: 808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.88 : 1,356.15 = 538.38 : x
  2. Step 2: Convert to fraction form
    902.88/1,356.15 = 538.38/x
  3. Step 3: Cross multiply
    902.88x = 1,356.15 × 538.38
  4. Step 4: Simplify right side
    902.88x = 730,124.74
  5. Step 5: Solve for x
    x = 730,124.74/902.88
  6. Step 6: Final answer
    x = 808.66

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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.