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Finding the Fourth Proportional to 1,177.83, 1,766.75 and 528.39

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Solution

The fourth proportional to 1,177.83, 1,766.75 and 528.39 is: 792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.83 : 1,766.75 = 528.39 : x
  2. Step 2: Convert to fraction form
    1,177.83/1,766.75 = 528.39/x
  3. Step 3: Cross multiply
    1,177.83x = 1,766.75 × 528.39
  4. Step 4: Simplify right side
    1,177.83x = 933,530.39
  5. Step 5: Solve for x
    x = 933,530.39/1,177.83
  6. Step 6: Final answer
    x = 792.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.