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Finding the Fourth Proportional to 701.84, 968.56 and 407.10

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Solution

The fourth proportional to 701.84, 968.56 and 407.10 is: 561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.84 : 968.56 = 407.10 : x
  2. Step 2: Convert to fraction form
    701.84/968.56 = 407.10/x
  3. Step 3: Cross multiply
    701.84x = 968.56 × 407.10
  4. Step 4: Simplify right side
    701.84x = 394,300.78
  5. Step 5: Solve for x
    x = 394,300.78/701.84
  6. Step 6: Final answer
    x = 561.81

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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.