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Finding the Fourth Proportional to 907.32, 1,252.28 and 534.62

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Solution

The fourth proportional to 907.32, 1,252.28 and 534.62 is: 737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.32 : 1,252.28 = 534.62 : x
  2. Step 2: Convert to fraction form
    907.32/1,252.28 = 534.62/x
  3. Step 3: Cross multiply
    907.32x = 1,252.28 × 534.62
  4. Step 4: Simplify right side
    907.32x = 669,493.93
  5. Step 5: Solve for x
    x = 669,493.93/907.32
  6. Step 6: Final answer
    x = 737.88

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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.