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Finding the Fourth Proportional to 1,225.83, 1,691.64 and 728.44

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Solution

The fourth proportional to 1,225.83, 1,691.64 and 728.44 is: 1,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.83 : 1,691.64 = 728.44 : x
  2. Step 2: Convert to fraction form
    1,225.83/1,691.64 = 728.44/x
  3. Step 3: Cross multiply
    1,225.83x = 1,691.64 × 728.44
  4. Step 4: Simplify right side
    1,225.83x = 1,232,258.24
  5. Step 5: Solve for x
    x = 1,232,258.24/1,225.83
  6. Step 6: Final answer
    x = 1,005.24

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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.