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Finding the Fourth Proportional to 1,496.64, 2,065.49 and 907.17

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Solution

The fourth proportional to 1,496.64, 2,065.49 and 907.17 is: 1,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.64 : 2,065.49 = 907.17 : x
  2. Step 2: Convert to fraction form
    1,496.64/2,065.49 = 907.17/x
  3. Step 3: Cross multiply
    1,496.64x = 2,065.49 × 907.17
  4. Step 4: Simplify right side
    1,496.64x = 1,873,750.56
  5. Step 5: Solve for x
    x = 1,873,750.56/1,496.64
  6. Step 6: Final answer
    x = 1,251.97

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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.