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Finding the Fourth Proportional to 1,689.83, 2,535.48 and 908.93

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Solution

The fourth proportional to 1,689.83, 2,535.48 and 908.93 is: 1,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.83 : 2,535.48 = 908.93 : x
  2. Step 2: Convert to fraction form
    1,689.83/2,535.48 = 908.93/x
  3. Step 3: Cross multiply
    1,689.83x = 2,535.48 × 908.93
  4. Step 4: Simplify right side
    1,689.83x = 2,304,561.16
  5. Step 5: Solve for x
    x = 2,304,561.16/1,689.83
  6. Step 6: Final answer
    x = 1,363.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.