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Finding the Fourth Proportional to 907.75, 1,252.86 and 514.78

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Solution

The fourth proportional to 907.75, 1,252.86 and 514.78 is: 710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.75 : 1,252.86 = 514.78 : x
  2. Step 2: Convert to fraction form
    907.75/1,252.86 = 514.78/x
  3. Step 3: Cross multiply
    907.75x = 1,252.86 × 514.78
  4. Step 4: Simplify right side
    907.75x = 644,947.27
  5. Step 5: Solve for x
    x = 644,947.27/907.75
  6. Step 6: Final answer
    x = 710.49

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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.