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Finding the Fourth Proportional to 868.92, 1,308.30 and 766.84

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Solution

The fourth proportional to 868.92, 1,308.30 and 766.84 is: 1,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.92 : 1,308.30 = 766.84 : x
  2. Step 2: Convert to fraction form
    868.92/1,308.30 = 766.84/x
  3. Step 3: Cross multiply
    868.92x = 1,308.30 × 766.84
  4. Step 4: Simplify right side
    868.92x = 1,003,256.77
  5. Step 5: Solve for x
    x = 1,003,256.77/868.92
  6. Step 6: Final answer
    x = 1,154.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.