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Finding the Fourth Proportional to 701.78, 968.42 and 407.00

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Solution

The fourth proportional to 701.78, 968.42 and 407.00 is: 561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.78 : 968.42 = 407.00 : x
  2. Step 2: Convert to fraction form
    701.78/968.42 = 407.00/x
  3. Step 3: Cross multiply
    701.78x = 968.42 × 407.00
  4. Step 4: Simplify right side
    701.78x = 394,140.06
  5. Step 5: Solve for x
    x = 394,140.06/701.78
  6. Step 6: Final answer
    x = 561.63

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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.