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Finding the Fourth Proportional to 1,022.04, 1,410.30 and 866.52

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Solution

The fourth proportional to 1,022.04, 1,410.30 and 866.52 is: 1,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.04 : 1,410.30 = 866.52 : x
  2. Step 2: Convert to fraction form
    1,022.04/1,410.30 = 866.52/x
  3. Step 3: Cross multiply
    1,022.04x = 1,410.30 × 866.52
  4. Step 4: Simplify right side
    1,022.04x = 1,222,053.16
  5. Step 5: Solve for x
    x = 1,222,053.16/1,022.04
  6. Step 6: Final answer
    x = 1,195.70

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Why These Related Problems?

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