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Finding the Fourth Proportional to 1,021.92, 1,410.74 and 690.23

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Solution

The fourth proportional to 1,021.92, 1,410.74 and 690.23 is: 952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.92 : 1,410.74 = 690.23 : x
  2. Step 2: Convert to fraction form
    1,021.92/1,410.74 = 690.23/x
  3. Step 3: Cross multiply
    1,021.92x = 1,410.74 × 690.23
  4. Step 4: Simplify right side
    1,021.92x = 973,724.57
  5. Step 5: Solve for x
    x = 973,724.57/1,021.92
  6. Step 6: Final answer
    x = 952.84

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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.