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Finding the Fourth Proportional to 1,025.86, 1,415.70 and 560.14

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Solution

The fourth proportional to 1,025.86, 1,415.70 and 560.14 is: 773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.86 : 1,415.70 = 560.14 : x
  2. Step 2: Convert to fraction form
    1,025.86/1,415.70 = 560.14/x
  3. Step 3: Cross multiply
    1,025.86x = 1,415.70 × 560.14
  4. Step 4: Simplify right side
    1,025.86x = 792,990.20
  5. Step 5: Solve for x
    x = 792,990.20/1,025.86
  6. Step 6: Final answer
    x = 773.00

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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.