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Finding the Fourth Proportional to 693.40, 1,039.84 and 282.31

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Solution

The fourth proportional to 693.40, 1,039.84 and 282.31 is: 423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.40 : 1,039.84 = 282.31 : x
  2. Step 2: Convert to fraction form
    693.40/1,039.84 = 282.31/x
  3. Step 3: Cross multiply
    693.40x = 1,039.84 × 282.31
  4. Step 4: Simplify right side
    693.40x = 293,557.64
  5. Step 5: Solve for x
    x = 293,557.64/693.40
  6. Step 6: Final answer
    x = 423.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.