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Finding the Fourth Proportional to 1,217.80, 1,826.70 and 601.93

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Solution

The fourth proportional to 1,217.80, 1,826.70 and 601.93 is: 902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.80 : 1,826.70 = 601.93 : x
  2. Step 2: Convert to fraction form
    1,217.80/1,826.70 = 601.93/x
  3. Step 3: Cross multiply
    1,217.80x = 1,826.70 × 601.93
  4. Step 4: Simplify right side
    1,217.80x = 1,099,545.53
  5. Step 5: Solve for x
    x = 1,099,545.53/1,217.80
  6. Step 6: Final answer
    x = 902.90

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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.