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Finding the Fourth Proportional to 777.51, 1,166.31 and 200.39

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Solution

The fourth proportional to 777.51, 1,166.31 and 200.39 is: 300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.51 : 1,166.31 = 200.39 : x
  2. Step 2: Convert to fraction form
    777.51/1,166.31 = 200.39/x
  3. Step 3: Cross multiply
    777.51x = 1,166.31 × 200.39
  4. Step 4: Simplify right side
    777.51x = 233,711.03
  5. Step 5: Solve for x
    x = 233,711.03/777.51
  6. Step 6: Final answer
    x = 300.59

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1.5x scale

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.