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Finding the Fourth Proportional to 699.89, 965.80 and 401.13

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Solution

The fourth proportional to 699.89, 965.80 and 401.13 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.89 : 965.80 = 401.13 : x
  2. Step 2: Convert to fraction form
    699.89/965.80 = 401.13/x
  3. Step 3: Cross multiply
    699.89x = 965.80 × 401.13
  4. Step 4: Simplify right side
    699.89x = 387,411.86
  5. Step 5: Solve for x
    x = 387,411.86/699.89
  6. Step 6: Final answer
    x = 553.54

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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.