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Finding the Fourth Proportional to 1,020.66, 1,532.81 and 778.87

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Solution

The fourth proportional to 1,020.66, 1,532.81 and 778.87 is: 1,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.66 : 1,532.81 = 778.87 : x
  2. Step 2: Convert to fraction form
    1,020.66/1,532.81 = 778.87/x
  3. Step 3: Cross multiply
    1,020.66x = 1,532.81 × 778.87
  4. Step 4: Simplify right side
    1,020.66x = 1,193,859.72
  5. Step 5: Solve for x
    x = 1,193,859.72/1,020.66
  6. Step 6: Final answer
    x = 1,169.69

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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.