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Finding the Fourth Proportional to 713.73, 982.75 and 545.83

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Solution

The fourth proportional to 713.73, 982.75 and 545.83 is: 751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 982.75 = 545.83 : x
  2. Step 2: Convert to fraction form
    713.73/982.75 = 545.83/x
  3. Step 3: Cross multiply
    713.73x = 982.75 × 545.83
  4. Step 4: Simplify right side
    713.73x = 536,411.63
  5. Step 5: Solve for x
    x = 536,411.63/713.73
  6. Step 6: Final answer
    x = 751.56

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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.