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Finding the Fourth Proportional to 712.75, 983.58 and 398.02

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Solution

The fourth proportional to 712.75, 983.58 and 398.02 is: 549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.75 : 983.58 = 398.02 : x
  2. Step 2: Convert to fraction form
    712.75/983.58 = 398.02/x
  3. Step 3: Cross multiply
    712.75x = 983.58 × 398.02
  4. Step 4: Simplify right side
    712.75x = 391,484.51
  5. Step 5: Solve for x
    x = 391,484.51/712.75
  6. Step 6: Final answer
    x = 549.26

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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.