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Finding the Fourth Proportional to 1,022.69, 1,412.03 and 691.40

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Solution

The fourth proportional to 1,022.69, 1,412.03 and 691.40 is: 954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.69 : 1,412.03 = 691.40 : x
  2. Step 2: Convert to fraction form
    1,022.69/1,412.03 = 691.40/x
  3. Step 3: Cross multiply
    1,022.69x = 1,412.03 × 691.40
  4. Step 4: Simplify right side
    1,022.69x = 976,282.80
  5. Step 5: Solve for x
    x = 976,282.80/1,022.69
  6. Step 6: Final answer
    x = 954.62

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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.