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Finding the Fourth Proportional to 1,022.14, 1,532.16 and 501.82

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Solution

The fourth proportional to 1,022.14, 1,532.16 and 501.82 is: 752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.14 : 1,532.16 = 501.82 : x
  2. Step 2: Convert to fraction form
    1,022.14/1,532.16 = 501.82/x
  3. Step 3: Cross multiply
    1,022.14x = 1,532.16 × 501.82
  4. Step 4: Simplify right side
    1,022.14x = 768,868.53
  5. Step 5: Solve for x
    x = 768,868.53/1,022.14
  6. Step 6: Final answer
    x = 752.21

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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.