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Finding the Fourth Proportional to 1,024.33, 1,414.06 and 693.29

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Solution

The fourth proportional to 1,024.33, 1,414.06 and 693.29 is: 957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.33 : 1,414.06 = 693.29 : x
  2. Step 2: Convert to fraction form
    1,024.33/1,414.06 = 693.29/x
  3. Step 3: Cross multiply
    1,024.33x = 1,414.06 × 693.29
  4. Step 4: Simplify right side
    1,024.33x = 980,355.46
  5. Step 5: Solve for x
    x = 980,355.46/1,024.33
  6. Step 6: Final answer
    x = 957.07

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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.