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Finding the Fourth Proportional to 1,177.26, 1,763.46 and 688.84

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Solution

The fourth proportional to 1,177.26, 1,763.46 and 688.84 is: 1,031.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.26 : 1,763.46 = 688.84 : x
  2. Step 2: Convert to fraction form
    1,177.26/1,763.46 = 688.84/x
  3. Step 3: Cross multiply
    1,177.26x = 1,763.46 × 688.84
  4. Step 4: Simplify right side
    1,177.26x = 1,214,741.79
  5. Step 5: Solve for x
    x = 1,214,741.79/1,177.26
  6. Step 6: Final answer
    x = 1,031.84

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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.