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Finding the Fourth Proportional to 596.70, 898.95 and 545.97

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Solution

The fourth proportional to 596.70, 898.95 and 545.97 is: 822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.70 : 898.95 = 545.97 : x
  2. Step 2: Convert to fraction form
    596.70/898.95 = 545.97/x
  3. Step 3: Cross multiply
    596.70x = 898.95 × 545.97
  4. Step 4: Simplify right side
    596.70x = 490,799.73
  5. Step 5: Solve for x
    x = 490,799.73/596.70
  6. Step 6: Final answer
    x = 822.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.