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Finding the Fourth Proportional to 701.18, 967.72 and 406.54

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Solution

The fourth proportional to 701.18, 967.72 and 406.54 is: 561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.18 : 967.72 = 406.54 : x
  2. Step 2: Convert to fraction form
    701.18/967.72 = 406.54/x
  3. Step 3: Cross multiply
    701.18x = 967.72 × 406.54
  4. Step 4: Simplify right side
    701.18x = 393,416.89
  5. Step 5: Solve for x
    x = 393,416.89/701.18
  6. Step 6: Final answer
    x = 561.08

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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.