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Finding the Fourth Proportional to 1,119.85, 1,545.41 and 622.50

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Solution

The fourth proportional to 1,119.85, 1,545.41 and 622.50 is: 859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.85 : 1,545.41 = 622.50 : x
  2. Step 2: Convert to fraction form
    1,119.85/1,545.41 = 622.50/x
  3. Step 3: Cross multiply
    1,119.85x = 1,545.41 × 622.50
  4. Step 4: Simplify right side
    1,119.85x = 962,017.73
  5. Step 5: Solve for x
    x = 962,017.73/1,119.85
  6. Step 6: Final answer
    x = 859.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.