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Finding the Fourth Proportional to 907.28, 1,259.42 and 849.68

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Solution

The fourth proportional to 907.28, 1,259.42 and 849.68 is: 1,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.28 : 1,259.42 = 849.68 : x
  2. Step 2: Convert to fraction form
    907.28/1,259.42 = 849.68/x
  3. Step 3: Cross multiply
    907.28x = 1,259.42 × 849.68
  4. Step 4: Simplify right side
    907.28x = 1,070,103.99
  5. Step 5: Solve for x
    x = 1,070,103.99/907.28
  6. Step 6: Final answer
    x = 1,179.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.