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Finding the Fourth Proportional to 988.78, 1,364.17 and 595.73

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Solution

The fourth proportional to 988.78, 1,364.17 and 595.73 is: 821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.78 : 1,364.17 = 595.73 : x
  2. Step 2: Convert to fraction form
    988.78/1,364.17 = 595.73/x
  3. Step 3: Cross multiply
    988.78x = 1,364.17 × 595.73
  4. Step 4: Simplify right side
    988.78x = 812,676.99
  5. Step 5: Solve for x
    x = 812,676.99/988.78
  6. Step 6: Final answer
    x = 821.90

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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.