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Finding the Fourth Proportional to 699.78, 965.70 and 405.14

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Solution

The fourth proportional to 699.78, 965.70 and 405.14 is: 559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.78 : 965.70 = 405.14 : x
  2. Step 2: Convert to fraction form
    699.78/965.70 = 405.14/x
  3. Step 3: Cross multiply
    699.78x = 965.70 × 405.14
  4. Step 4: Simplify right side
    699.78x = 391,243.70
  5. Step 5: Solve for x
    x = 391,243.70/699.78
  6. Step 6: Final answer
    x = 559.10

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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.