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Finding the Fourth Proportional to 1,176.98, 1,763.42 and 713.66

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Solution

The fourth proportional to 1,176.98, 1,763.42 and 713.66 is: 1,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.98 : 1,763.42 = 713.66 : x
  2. Step 2: Convert to fraction form
    1,176.98/1,763.42 = 713.66/x
  3. Step 3: Cross multiply
    1,176.98x = 1,763.42 × 713.66
  4. Step 4: Simplify right side
    1,176.98x = 1,258,469.93
  5. Step 5: Solve for x
    x = 1,258,469.93/1,176.98
  6. Step 6: Final answer
    x = 1,069.24

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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.