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Finding the Fourth Proportional to 855.83, 1,277.19 and 763.56

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Solution

The fourth proportional to 855.83, 1,277.19 and 763.56 is: 1,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.83 : 1,277.19 = 763.56 : x
  2. Step 2: Convert to fraction form
    855.83/1,277.19 = 763.56/x
  3. Step 3: Cross multiply
    855.83x = 1,277.19 × 763.56
  4. Step 4: Simplify right side
    855.83x = 975,211.20
  5. Step 5: Solve for x
    x = 975,211.20/855.83
  6. Step 6: Final answer
    x = 1,139.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.