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Finding the Fourth Proportional to 1,350.88, 1,865.76 and 908

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Solution

The fourth proportional to 1,350.88, 1,865.76 and 908 is: 1,254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.88 : 1,865.76 = 908 : x
  2. Step 2: Convert to fraction form
    1,350.88/1,865.76 = 908/x
  3. Step 3: Cross multiply
    1,350.88x = 1,865.76 × 908
  4. Step 4: Simplify right side
    1,350.88x = 1,694,110.08
  5. Step 5: Solve for x
    x = 1,694,110.08/1,350.88
  6. Step 6: Final answer
    x = 1,254.08

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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.