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Finding the Fourth Proportional to 1,773.84, 2,658.00 and 677.61

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Solution

The fourth proportional to 1,773.84, 2,658.00 and 677.61 is: 1,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.84 : 2,658.00 = 677.61 : x
  2. Step 2: Convert to fraction form
    1,773.84/2,658.00 = 677.61/x
  3. Step 3: Cross multiply
    1,773.84x = 2,658.00 × 677.61
  4. Step 4: Simplify right side
    1,773.84x = 1,801,074.87
  5. Step 5: Solve for x
    x = 1,801,074.87/1,773.84
  6. Step 6: Final answer
    x = 1,015.35

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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.