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Finding the Fourth Proportional to 766.81, 1,148.05 and 535.15

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Solution

The fourth proportional to 766.81, 1,148.05 and 535.15 is: 801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.81 : 1,148.05 = 535.15 : x
  2. Step 2: Convert to fraction form
    766.81/1,148.05 = 535.15/x
  3. Step 3: Cross multiply
    766.81x = 1,148.05 × 535.15
  4. Step 4: Simplify right side
    766.81x = 614,378.96
  5. Step 5: Solve for x
    x = 614,378.96/766.81
  6. Step 6: Final answer
    x = 801.21

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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.