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Finding the Fourth Proportional to 701.82, 968.63 and 407.03

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Solution

The fourth proportional to 701.82, 968.63 and 407.03 is: 561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.82 : 968.63 = 407.03 : x
  2. Step 2: Convert to fraction form
    701.82/968.63 = 407.03/x
  3. Step 3: Cross multiply
    701.82x = 968.63 × 407.03
  4. Step 4: Simplify right side
    701.82x = 394,261.47
  5. Step 5: Solve for x
    x = 394,261.47/701.82
  6. Step 6: Final answer
    x = 561.77

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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.