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Finding the Fourth Proportional to 712.75, 983.59 and 402.25

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Solution

The fourth proportional to 712.75, 983.59 and 402.25 is: 555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.75 : 983.59 = 402.25 : x
  2. Step 2: Convert to fraction form
    712.75/983.59 = 402.25/x
  3. Step 3: Cross multiply
    712.75x = 983.59 × 402.25
  4. Step 4: Simplify right side
    712.75x = 395,649.08
  5. Step 5: Solve for x
    x = 395,649.08/712.75
  6. Step 6: Final answer
    x = 555.10

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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.