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Finding the Fourth Proportional to 1,022.36, 1,532.12 and 502.74

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Solution

The fourth proportional to 1,022.36, 1,532.12 and 502.74 is: 753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.36 : 1,532.12 = 502.74 : x
  2. Step 2: Convert to fraction form
    1,022.36/1,532.12 = 502.74/x
  3. Step 3: Cross multiply
    1,022.36x = 1,532.12 × 502.74
  4. Step 4: Simplify right side
    1,022.36x = 770,255.50
  5. Step 5: Solve for x
    x = 770,255.50/1,022.36
  6. Step 6: Final answer
    x = 753.41

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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.