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Finding the Fourth Proportional to 907.09, 1,251.76 and 514.09

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Solution

The fourth proportional to 907.09, 1,251.76 and 514.09 is: 709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.09 : 1,251.76 = 514.09 : x
  2. Step 2: Convert to fraction form
    907.09/1,251.76 = 514.09/x
  3. Step 3: Cross multiply
    907.09x = 1,251.76 × 514.09
  4. Step 4: Simplify right side
    907.09x = 643,517.30
  5. Step 5: Solve for x
    x = 643,517.30/907.09
  6. Step 6: Final answer
    x = 709.43

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1.5x scale

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.