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Finding the Fourth Proportional to 1,022.33, 1,532.28 and 372.31

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Solution

The fourth proportional to 1,022.33, 1,532.28 and 372.31 is: 558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.33 : 1,532.28 = 372.31 : x
  2. Step 2: Convert to fraction form
    1,022.33/1,532.28 = 372.31/x
  3. Step 3: Cross multiply
    1,022.33x = 1,532.28 × 372.31
  4. Step 4: Simplify right side
    1,022.33x = 570,483.17
  5. Step 5: Solve for x
    x = 570,483.17/1,022.33
  6. Step 6: Final answer
    x = 558.02

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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.