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Finding the Fourth Proportional to 1,022.78, 1,410.72 and 630.02

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Solution

The fourth proportional to 1,022.78, 1,410.72 and 630.02 is: 868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.78 : 1,410.72 = 630.02 : x
  2. Step 2: Convert to fraction form
    1,022.78/1,410.72 = 630.02/x
  3. Step 3: Cross multiply
    1,022.78x = 1,410.72 × 630.02
  4. Step 4: Simplify right side
    1,022.78x = 888,781.81
  5. Step 5: Solve for x
    x = 888,781.81/1,022.78
  6. Step 6: Final answer
    x = 868.99

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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.