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Finding the Fourth Proportional to 1,025.18, 1,537.62 and 505.04

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Solution

The fourth proportional to 1,025.18, 1,537.62 and 505.04 is: 757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.18 : 1,537.62 = 505.04 : x
  2. Step 2: Convert to fraction form
    1,025.18/1,537.62 = 505.04/x
  3. Step 3: Cross multiply
    1,025.18x = 1,537.62 × 505.04
  4. Step 4: Simplify right side
    1,025.18x = 776,551.92
  5. Step 5: Solve for x
    x = 776,551.92/1,025.18
  6. Step 6: Final answer
    x = 757.48

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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.