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Finding the Fourth Proportional to 1,025.24, 1,414.08 and 651.90

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Solution

The fourth proportional to 1,025.24, 1,414.08 and 651.90 is: 899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.24 : 1,414.08 = 651.90 : x
  2. Step 2: Convert to fraction form
    1,025.24/1,414.08 = 651.90/x
  3. Step 3: Cross multiply
    1,025.24x = 1,414.08 × 651.90
  4. Step 4: Simplify right side
    1,025.24x = 921,838.75
  5. Step 5: Solve for x
    x = 921,838.75/1,025.24
  6. Step 6: Final answer
    x = 899.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.