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Finding the Fourth Proportional to 862.93, 1,287.71 and 770.63

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Solution

The fourth proportional to 862.93, 1,287.71 and 770.63 is: 1,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.93 : 1,287.71 = 770.63 : x
  2. Step 2: Convert to fraction form
    862.93/1,287.71 = 770.63/x
  3. Step 3: Cross multiply
    862.93x = 1,287.71 × 770.63
  4. Step 4: Simplify right side
    862.93x = 992,353.10
  5. Step 5: Solve for x
    x = 992,353.10/862.93
  6. Step 6: Final answer
    x = 1,149.98

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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.