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Finding the Fourth Proportional to 1,295.79, 1,788.20 and 847.97

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Solution

The fourth proportional to 1,295.79, 1,788.20 and 847.97 is: 1,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.79 : 1,788.20 = 847.97 : x
  2. Step 2: Convert to fraction form
    1,295.79/1,788.20 = 847.97/x
  3. Step 3: Cross multiply
    1,295.79x = 1,788.20 × 847.97
  4. Step 4: Simplify right side
    1,295.79x = 1,516,333.68
  5. Step 5: Solve for x
    x = 1,516,333.68/1,295.79
  6. Step 6: Final answer
    x = 1,170.20

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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.