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Finding the Fourth Proportional to 1,022.76, 1,532.70 and 766.44

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Solution

The fourth proportional to 1,022.76, 1,532.70 and 766.44 is: 1,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.76 : 1,532.70 = 766.44 : x
  2. Step 2: Convert to fraction form
    1,022.76/1,532.70 = 766.44/x
  3. Step 3: Cross multiply
    1,022.76x = 1,532.70 × 766.44
  4. Step 4: Simplify right side
    1,022.76x = 1,174,722.59
  5. Step 5: Solve for x
    x = 1,174,722.59/1,022.76
  6. Step 6: Final answer
    x = 1,148.58

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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.