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Finding the Fourth Proportional to 1,226.87, 1,693.64 and 807.24

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Solution

The fourth proportional to 1,226.87, 1,693.64 and 807.24 is: 1,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.87 : 1,693.64 = 807.24 : x
  2. Step 2: Convert to fraction form
    1,226.87/1,693.64 = 807.24/x
  3. Step 3: Cross multiply
    1,226.87x = 1,693.64 × 807.24
  4. Step 4: Simplify right side
    1,226.87x = 1,367,167.70
  5. Step 5: Solve for x
    x = 1,367,167.70/1,226.87
  6. Step 6: Final answer
    x = 1,114.36

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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.