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Finding the Fourth Proportional to 908.04, 1,252.80 and 534.88

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Solution

The fourth proportional to 908.04, 1,252.80 and 534.88 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.04 : 1,252.80 = 534.88 : x
  2. Step 2: Convert to fraction form
    908.04/1,252.80 = 534.88/x
  3. Step 3: Cross multiply
    908.04x = 1,252.80 × 534.88
  4. Step 4: Simplify right side
    908.04x = 670,097.66
  5. Step 5: Solve for x
    x = 670,097.66/908.04
  6. Step 6: Final answer
    x = 737.96

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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.