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Finding the Fourth Proportional to 1,262.81, 1,742.06 and 814.55

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Solution

The fourth proportional to 1,262.81, 1,742.06 and 814.55 is: 1,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.81 : 1,742.06 = 814.55 : x
  2. Step 2: Convert to fraction form
    1,262.81/1,742.06 = 814.55/x
  3. Step 3: Cross multiply
    1,262.81x = 1,742.06 × 814.55
  4. Step 4: Simplify right side
    1,262.81x = 1,418,995.26
  5. Step 5: Solve for x
    x = 1,418,995.26/1,262.81
  6. Step 6: Final answer
    x = 1,123.69

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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.