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Finding the Fourth Proportional to 1,022.74, 1,534.37 and 292.38

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Solution

The fourth proportional to 1,022.74, 1,534.37 and 292.38 is: 438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.74 : 1,534.37 = 292.38 : x
  2. Step 2: Convert to fraction form
    1,022.74/1,534.37 = 292.38/x
  3. Step 3: Cross multiply
    1,022.74x = 1,534.37 × 292.38
  4. Step 4: Simplify right side
    1,022.74x = 448,611.88
  5. Step 5: Solve for x
    x = 448,611.88/1,022.74
  6. Step 6: Final answer
    x = 438.64

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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.