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Finding the Fourth Proportional to 1,025.17, 1,537.92 and 505.19

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Solution

The fourth proportional to 1,025.17, 1,537.92 and 505.19 is: 757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.17 : 1,537.92 = 505.19 : x
  2. Step 2: Convert to fraction form
    1,025.17/1,537.92 = 505.19/x
  3. Step 3: Cross multiply
    1,025.17x = 1,537.92 × 505.19
  4. Step 4: Simplify right side
    1,025.17x = 776,945.65
  5. Step 5: Solve for x
    x = 776,945.65/1,025.17
  6. Step 6: Final answer
    x = 757.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.