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Finding the Fourth Proportional to 776.49, 1,164.74 and 191.50

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Solution

The fourth proportional to 776.49, 1,164.74 and 191.50 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.49 : 1,164.74 = 191.50 : x
  2. Step 2: Convert to fraction form
    776.49/1,164.74 = 191.50/x
  3. Step 3: Cross multiply
    776.49x = 1,164.74 × 191.50
  4. Step 4: Simplify right side
    776.49x = 223,047.71
  5. Step 5: Solve for x
    x = 223,047.71/776.49
  6. Step 6: Final answer
    x = 287.25

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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.