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Finding the Fourth Proportional to 1,277.85, 1,763.33 and 718.41

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Solution

The fourth proportional to 1,277.85, 1,763.33 and 718.41 is: 991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.85 : 1,763.33 = 718.41 : x
  2. Step 2: Convert to fraction form
    1,277.85/1,763.33 = 718.41/x
  3. Step 3: Cross multiply
    1,277.85x = 1,763.33 × 718.41
  4. Step 4: Simplify right side
    1,277.85x = 1,266,793.91
  5. Step 5: Solve for x
    x = 1,266,793.91/1,277.85
  6. Step 6: Final answer
    x = 991.35

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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.