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Finding the Fourth Proportional to 1,324.97, 1,829.30 and 906.02

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Solution

The fourth proportional to 1,324.97, 1,829.30 and 906.02 is: 1,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.97 : 1,829.30 = 906.02 : x
  2. Step 2: Convert to fraction form
    1,324.97/1,829.30 = 906.02/x
  3. Step 3: Cross multiply
    1,324.97x = 1,829.30 × 906.02
  4. Step 4: Simplify right side
    1,324.97x = 1,657,368.71
  5. Step 5: Solve for x
    x = 1,657,368.71/1,324.97
  6. Step 6: Final answer
    x = 1,250.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.