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Finding the Fourth Proportional to 1,177.83, 1,765.80 and 813.33

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Solution

The fourth proportional to 1,177.83, 1,765.80 and 813.33 is: 1,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.83 : 1,765.80 = 813.33 : x
  2. Step 2: Convert to fraction form
    1,177.83/1,765.80 = 813.33/x
  3. Step 3: Cross multiply
    1,177.83x = 1,765.80 × 813.33
  4. Step 4: Simplify right side
    1,177.83x = 1,436,178.11
  5. Step 5: Solve for x
    x = 1,436,178.11/1,177.83
  6. Step 6: Final answer
    x = 1,219.34

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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.