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Finding the Fourth Proportional to 1,022.82, 1,411.04 and 691.13

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Solution

The fourth proportional to 1,022.82, 1,411.04 and 691.13 is: 953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.82 : 1,411.04 = 691.13 : x
  2. Step 2: Convert to fraction form
    1,022.82/1,411.04 = 691.13/x
  3. Step 3: Cross multiply
    1,022.82x = 1,411.04 × 691.13
  4. Step 4: Simplify right side
    1,022.82x = 975,206.75
  5. Step 5: Solve for x
    x = 975,206.75/1,022.82
  6. Step 6: Final answer
    x = 953.45

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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.