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Finding the Fourth Proportional to 1,179.34, 1,768.02 and 521.11

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Solution

The fourth proportional to 1,179.34, 1,768.02 and 521.11 is: 781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.34 : 1,768.02 = 521.11 : x
  2. Step 2: Convert to fraction form
    1,179.34/1,768.02 = 521.11/x
  3. Step 3: Cross multiply
    1,179.34x = 1,768.02 × 521.11
  4. Step 4: Simplify right side
    1,179.34x = 921,332.90
  5. Step 5: Solve for x
    x = 921,332.90/1,179.34
  6. Step 6: Final answer
    x = 781.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.