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Finding the Fourth Proportional to 1,022.02, 1,410.01 and 689.92

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Solution

The fourth proportional to 1,022.02, 1,410.01 and 689.92 is: 951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.02 : 1,410.01 = 689.92 : x
  2. Step 2: Convert to fraction form
    1,022.02/1,410.01 = 689.92/x
  3. Step 3: Cross multiply
    1,022.02x = 1,410.01 × 689.92
  4. Step 4: Simplify right side
    1,022.02x = 972,788.85
  5. Step 5: Solve for x
    x = 972,788.85/1,022.02
  6. Step 6: Final answer
    x = 951.83

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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.