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Finding the Fourth Proportional to 1,022.97, 1,534.09 and 438.02

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Solution

The fourth proportional to 1,022.97, 1,534.09 and 438.02 is: 656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.97 : 1,534.09 = 438.02 : x
  2. Step 2: Convert to fraction form
    1,022.97/1,534.09 = 438.02/x
  3. Step 3: Cross multiply
    1,022.97x = 1,534.09 × 438.02
  4. Step 4: Simplify right side
    1,022.97x = 671,954.98
  5. Step 5: Solve for x
    x = 671,954.98/1,022.97
  6. Step 6: Final answer
    x = 656.86

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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.