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Finding the Fourth Proportional to 1,226.37, 1,691.56 and 784.08

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Solution

The fourth proportional to 1,226.37, 1,691.56 and 784.08 is: 1,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.37 : 1,691.56 = 784.08 : x
  2. Step 2: Convert to fraction form
    1,226.37/1,691.56 = 784.08/x
  3. Step 3: Cross multiply
    1,226.37x = 1,691.56 × 784.08
  4. Step 4: Simplify right side
    1,226.37x = 1,326,318.36
  5. Step 5: Solve for x
    x = 1,326,318.36/1,226.37
  6. Step 6: Final answer
    x = 1,081.50

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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.