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Finding the Fourth Proportional to 1,022.78, 1,534.22 and 292.46

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Solution

The fourth proportional to 1,022.78, 1,534.22 and 292.46 is: 438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.78 : 1,534.22 = 292.46 : x
  2. Step 2: Convert to fraction form
    1,022.78/1,534.22 = 292.46/x
  3. Step 3: Cross multiply
    1,022.78x = 1,534.22 × 292.46
  4. Step 4: Simplify right side
    1,022.78x = 448,704.10
  5. Step 5: Solve for x
    x = 448,704.10/1,022.78
  6. Step 6: Final answer
    x = 438.71

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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.