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Finding the Fourth Proportional to 1,177.50, 1,765.83 and 519.18

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Solution

The fourth proportional to 1,177.50, 1,765.83 and 519.18 is: 778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.50 : 1,765.83 = 519.18 : x
  2. Step 2: Convert to fraction form
    1,177.50/1,765.83 = 519.18/x
  3. Step 3: Cross multiply
    1,177.50x = 1,765.83 × 519.18
  4. Step 4: Simplify right side
    1,177.50x = 916,783.62
  5. Step 5: Solve for x
    x = 916,783.62/1,177.50
  6. Step 6: Final answer
    x = 778.58

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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.