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Finding the Fourth Proportional to 677.65, 1,016.53 and 190.70

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Solution

The fourth proportional to 677.65, 1,016.53 and 190.70 is: 286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.65 : 1,016.53 = 190.70 : x
  2. Step 2: Convert to fraction form
    677.65/1,016.53 = 190.70/x
  3. Step 3: Cross multiply
    677.65x = 1,016.53 × 190.70
  4. Step 4: Simplify right side
    677.65x = 193,857.31
  5. Step 5: Solve for x
    x = 193,857.31/677.65
  6. Step 6: Final answer
    x = 286.07

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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.