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Finding the Fourth Proportional to 907.73, 1,251.43 and 815.47

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Solution

The fourth proportional to 907.73, 1,251.43 and 815.47 is: 1,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.73 : 1,251.43 = 815.47 : x
  2. Step 2: Convert to fraction form
    907.73/1,251.43 = 815.47/x
  3. Step 3: Cross multiply
    907.73x = 1,251.43 × 815.47
  4. Step 4: Simplify right side
    907.73x = 1,020,503.62
  5. Step 5: Solve for x
    x = 1,020,503.62/907.73
  6. Step 6: Final answer
    x = 1,124.24

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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.