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Finding the Fourth Proportional to 907.97, 1,253.02 and 514.99

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Solution

The fourth proportional to 907.97, 1,253.02 and 514.99 is: 710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.97 : 1,253.02 = 514.99 : x
  2. Step 2: Convert to fraction form
    907.97/1,253.02 = 514.99/x
  3. Step 3: Cross multiply
    907.97x = 1,253.02 × 514.99
  4. Step 4: Simplify right side
    907.97x = 645,286.50
  5. Step 5: Solve for x
    x = 645,286.50/907.97
  6. Step 6: Final answer
    x = 710.69

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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.