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Finding the Fourth Proportional to 1,349.44, 1,862.66 and 825.52

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Solution

The fourth proportional to 1,349.44, 1,862.66 and 825.52 is: 1,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.44 : 1,862.66 = 825.52 : x
  2. Step 2: Convert to fraction form
    1,349.44/1,862.66 = 825.52/x
  3. Step 3: Cross multiply
    1,349.44x = 1,862.66 × 825.52
  4. Step 4: Simplify right side
    1,349.44x = 1,537,663.08
  5. Step 5: Solve for x
    x = 1,537,663.08/1,349.44
  6. Step 6: Final answer
    x = 1,139.48

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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.