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Finding the Fourth Proportional to 1,022.82, 1,534.50 and 292.46

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Solution

The fourth proportional to 1,022.82, 1,534.50 and 292.46 is: 438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.82 : 1,534.50 = 292.46 : x
  2. Step 2: Convert to fraction form
    1,022.82/1,534.50 = 292.46/x
  3. Step 3: Cross multiply
    1,022.82x = 1,534.50 × 292.46
  4. Step 4: Simplify right side
    1,022.82x = 448,772.20
  5. Step 5: Solve for x
    x = 448,772.20/1,022.82
  6. Step 6: Final answer
    x = 438.76

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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.