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Finding the Fourth Proportional to 701.12, 967.76 and 406.52

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Solution

The fourth proportional to 701.12, 967.76 and 406.52 is: 561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.12 : 967.76 = 406.52 : x
  2. Step 2: Convert to fraction form
    701.12/967.76 = 406.52/x
  3. Step 3: Cross multiply
    701.12x = 967.76 × 406.52
  4. Step 4: Simplify right side
    701.12x = 393,411.76
  5. Step 5: Solve for x
    x = 393,411.76/701.12
  6. Step 6: Final answer
    x = 561.12

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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.