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Finding the Fourth Proportional to 1,306.74, 1,807.31 and 1,284.87

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Solution

The fourth proportional to 1,306.74, 1,807.31 and 1,284.87 is: 1,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.74 : 1,807.31 = 1,284.87 : x
  2. Step 2: Convert to fraction form
    1,306.74/1,807.31 = 1,284.87/x
  3. Step 3: Cross multiply
    1,306.74x = 1,807.31 × 1,284.87
  4. Step 4: Simplify right side
    1,306.74x = 2,322,151.98
  5. Step 5: Solve for x
    x = 2,322,151.98/1,306.74
  6. Step 6: Final answer
    x = 1,777.06

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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.