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Finding the Fourth Proportional to 699.79, 967.80 and 614.74

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Solution

The fourth proportional to 699.79, 967.80 and 614.74 is: 850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.79 : 967.80 = 614.74 : x
  2. Step 2: Convert to fraction form
    699.79/967.80 = 614.74/x
  3. Step 3: Cross multiply
    699.79x = 967.80 × 614.74
  4. Step 4: Simplify right side
    699.79x = 594,945.37
  5. Step 5: Solve for x
    x = 594,945.37/699.79
  6. Step 6: Final answer
    x = 850.18

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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.