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Finding the Fourth Proportional to 1,545.24, 2,317.99 and 505.23

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Solution

The fourth proportional to 1,545.24, 2,317.99 and 505.23 is: 757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.24 : 2,317.99 = 505.23 : x
  2. Step 2: Convert to fraction form
    1,545.24/2,317.99 = 505.23/x
  3. Step 3: Cross multiply
    1,545.24x = 2,317.99 × 505.23
  4. Step 4: Simplify right side
    1,545.24x = 1,171,118.09
  5. Step 5: Solve for x
    x = 1,171,118.09/1,545.24
  6. Step 6: Final answer
    x = 757.89

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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.