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Finding the Fourth Proportional to 1,177.76, 1,766.45 and 355.89

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Solution

The fourth proportional to 1,177.76, 1,766.45 and 355.89 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.76 : 1,766.45 = 355.89 : x
  2. Step 2: Convert to fraction form
    1,177.76/1,766.45 = 355.89/x
  3. Step 3: Cross multiply
    1,177.76x = 1,766.45 × 355.89
  4. Step 4: Simplify right side
    1,177.76x = 628,661.89
  5. Step 5: Solve for x
    x = 628,661.89/1,177.76
  6. Step 6: Final answer
    x = 533.78

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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.