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Finding the Fourth Proportional to 701.54, 967.96 and 406.78

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Solution

The fourth proportional to 701.54, 967.96 and 406.78 is: 561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.54 : 967.96 = 406.78 : x
  2. Step 2: Convert to fraction form
    701.54/967.96 = 406.78/x
  3. Step 3: Cross multiply
    701.54x = 967.96 × 406.78
  4. Step 4: Simplify right side
    701.54x = 393,746.77
  5. Step 5: Solve for x
    x = 393,746.77/701.54
  6. Step 6: Final answer
    x = 561.26

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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.