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Finding the Fourth Proportional to 862.48, 1,290.85 and 785.62

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Solution

The fourth proportional to 862.48, 1,290.85 and 785.62 is: 1,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.48 : 1,290.85 = 785.62 : x
  2. Step 2: Convert to fraction form
    862.48/1,290.85 = 785.62/x
  3. Step 3: Cross multiply
    862.48x = 1,290.85 × 785.62
  4. Step 4: Simplify right side
    862.48x = 1,014,117.58
  5. Step 5: Solve for x
    x = 1,014,117.58/862.48
  6. Step 6: Final answer
    x = 1,175.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.