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Finding the Fourth Proportional to 1,135.58, 1,568.02 and 925.78

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Solution

The fourth proportional to 1,135.58, 1,568.02 and 925.78 is: 1,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.58 : 1,568.02 = 925.78 : x
  2. Step 2: Convert to fraction form
    1,135.58/1,568.02 = 925.78/x
  3. Step 3: Cross multiply
    1,135.58x = 1,568.02 × 925.78
  4. Step 4: Simplify right side
    1,135.58x = 1,451,641.56
  5. Step 5: Solve for x
    x = 1,451,641.56/1,135.58
  6. Step 6: Final answer
    x = 1,278.33

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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.