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Finding the Fourth Proportional to 814.80, 1,127.34 and 690.06

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Solution

The fourth proportional to 814.80, 1,127.34 and 690.06 is: 954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.80 : 1,127.34 = 690.06 : x
  2. Step 2: Convert to fraction form
    814.80/1,127.34 = 690.06/x
  3. Step 3: Cross multiply
    814.80x = 1,127.34 × 690.06
  4. Step 4: Simplify right side
    814.80x = 777,932.24
  5. Step 5: Solve for x
    x = 777,932.24/814.80
  6. Step 6: Final answer
    x = 954.75

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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.