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Finding the Fourth Proportional to 712.03, 982.62 and 537.07

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Solution

The fourth proportional to 712.03, 982.62 and 537.07 is: 741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.03 : 982.62 = 537.07 : x
  2. Step 2: Convert to fraction form
    712.03/982.62 = 537.07/x
  3. Step 3: Cross multiply
    712.03x = 982.62 × 537.07
  4. Step 4: Simplify right side
    712.03x = 527,735.72
  5. Step 5: Solve for x
    x = 527,735.72/712.03
  6. Step 6: Final answer
    x = 741.17

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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.