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Finding the Fourth Proportional to 1,025.54, 1,538.15 and 505.40

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Solution

The fourth proportional to 1,025.54, 1,538.15 and 505.40 is: 758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.54 : 1,538.15 = 505.40 : x
  2. Step 2: Convert to fraction form
    1,025.54/1,538.15 = 505.40/x
  3. Step 3: Cross multiply
    1,025.54x = 1,538.15 × 505.40
  4. Step 4: Simplify right side
    1,025.54x = 777,382.29
  5. Step 5: Solve for x
    x = 777,382.29/1,025.54
  6. Step 6: Final answer
    x = 758.02

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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.