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Finding the Fourth Proportional to 1,545.54, 2,318.60 and 505.45

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Solution

The fourth proportional to 1,545.54, 2,318.60 and 505.45 is: 758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.54 : 2,318.60 = 505.45 : x
  2. Step 2: Convert to fraction form
    1,545.54/2,318.60 = 505.45/x
  3. Step 3: Cross multiply
    1,545.54x = 2,318.60 × 505.45
  4. Step 4: Simplify right side
    1,545.54x = 1,171,936.37
  5. Step 5: Solve for x
    x = 1,171,936.37/1,545.54
  6. Step 6: Final answer
    x = 758.27

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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.