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Finding the Fourth Proportional to 690.98, 1,036.53 and 197.39

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Solution

The fourth proportional to 690.98, 1,036.53 and 197.39 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 1,036.53 = 197.39 : x
  2. Step 2: Convert to fraction form
    690.98/1,036.53 = 197.39/x
  3. Step 3: Cross multiply
    690.98x = 1,036.53 × 197.39
  4. Step 4: Simplify right side
    690.98x = 204,603.80
  5. Step 5: Solve for x
    x = 204,603.80/690.98
  6. Step 6: Final answer
    x = 296.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.