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Finding the Fourth Proportional to 1,024.91, 1,414.42 and 775.79

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Solution

The fourth proportional to 1,024.91, 1,414.42 and 775.79 is: 1,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.91 : 1,414.42 = 775.79 : x
  2. Step 2: Convert to fraction form
    1,024.91/1,414.42 = 775.79/x
  3. Step 3: Cross multiply
    1,024.91x = 1,414.42 × 775.79
  4. Step 4: Simplify right side
    1,024.91x = 1,097,285.82
  5. Step 5: Solve for x
    x = 1,097,285.82/1,024.91
  6. Step 6: Final answer
    x = 1,070.62

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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.