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Finding the Fourth Proportional to 1,225.48, 1,691.40 and 805.09

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Solution

The fourth proportional to 1,225.48, 1,691.40 and 805.09 is: 1,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.48 : 1,691.40 = 805.09 : x
  2. Step 2: Convert to fraction form
    1,225.48/1,691.40 = 805.09/x
  3. Step 3: Cross multiply
    1,225.48x = 1,691.40 × 805.09
  4. Step 4: Simplify right side
    1,225.48x = 1,361,729.23
  5. Step 5: Solve for x
    x = 1,361,729.23/1,225.48
  6. Step 6: Final answer
    x = 1,111.18

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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.