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Finding the Fourth Proportional to 1,022.70, 1,410.87 and 691

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Solution

The fourth proportional to 1,022.70, 1,410.87 and 691 is: 953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.70 : 1,410.87 = 691 : x
  2. Step 2: Convert to fraction form
    1,022.70/1,410.87 = 691/x
  3. Step 3: Cross multiply
    1,022.70x = 1,410.87 × 691
  4. Step 4: Simplify right side
    1,022.70x = 974,911.17
  5. Step 5: Solve for x
    x = 974,911.17/1,022.70
  6. Step 6: Final answer
    x = 953.28

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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.