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Finding the Fourth Proportional to 701.78, 1,051.32 and 392.69

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Solution

The fourth proportional to 701.78, 1,051.32 and 392.69 is: 588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.78 : 1,051.32 = 392.69 : x
  2. Step 2: Convert to fraction form
    701.78/1,051.32 = 392.69/x
  3. Step 3: Cross multiply
    701.78x = 1,051.32 × 392.69
  4. Step 4: Simplify right side
    701.78x = 412,840.89
  5. Step 5: Solve for x
    x = 412,840.89/701.78
  6. Step 6: Final answer
    x = 588.28

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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.