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Finding the Fourth Proportional to 974.96, 1,459.68 and 778.96

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Solution

The fourth proportional to 974.96, 1,459.68 and 778.96 is: 1,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.96 : 1,459.68 = 778.96 : x
  2. Step 2: Convert to fraction form
    974.96/1,459.68 = 778.96/x
  3. Step 3: Cross multiply
    974.96x = 1,459.68 × 778.96
  4. Step 4: Simplify right side
    974.96x = 1,137,032.33
  5. Step 5: Solve for x
    x = 1,137,032.33/974.96
  6. Step 6: Final answer
    x = 1,166.23

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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.