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Finding the Fourth Proportional to 1,176.34, 1,763.23 and 765.77

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Solution

The fourth proportional to 1,176.34, 1,763.23 and 765.77 is: 1,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.34 : 1,763.23 = 765.77 : x
  2. Step 2: Convert to fraction form
    1,176.34/1,763.23 = 765.77/x
  3. Step 3: Cross multiply
    1,176.34x = 1,763.23 × 765.77
  4. Step 4: Simplify right side
    1,176.34x = 1,350,228.64
  5. Step 5: Solve for x
    x = 1,350,228.64/1,176.34
  6. Step 6: Final answer
    x = 1,147.82

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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.