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Finding the Fourth Proportional to 699.81, 1,050.74 and 392.26

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Solution

The fourth proportional to 699.81, 1,050.74 and 392.26 is: 588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.81 : 1,050.74 = 392.26 : x
  2. Step 2: Convert to fraction form
    699.81/1,050.74 = 392.26/x
  3. Step 3: Cross multiply
    699.81x = 1,050.74 × 392.26
  4. Step 4: Simplify right side
    699.81x = 412,163.27
  5. Step 5: Solve for x
    x = 412,163.27/699.81
  6. Step 6: Final answer
    x = 588.96

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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.