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Finding the Fourth Proportional to 1,139.35, 1,572.74 and 767.39

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Solution

The fourth proportional to 1,139.35, 1,572.74 and 767.39 is: 1,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.35 : 1,572.74 = 767.39 : x
  2. Step 2: Convert to fraction form
    1,139.35/1,572.74 = 767.39/x
  3. Step 3: Cross multiply
    1,139.35x = 1,572.74 × 767.39
  4. Step 4: Simplify right side
    1,139.35x = 1,206,904.95
  5. Step 5: Solve for x
    x = 1,206,904.95/1,139.35
  6. Step 6: Final answer
    x = 1,059.29

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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.