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Finding the Fourth Proportional to 755.84, 1,133.62 and 208.10

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Solution

The fourth proportional to 755.84, 1,133.62 and 208.10 is: 312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.84 : 1,133.62 = 208.10 : x
  2. Step 2: Convert to fraction form
    755.84/1,133.62 = 208.10/x
  3. Step 3: Cross multiply
    755.84x = 1,133.62 × 208.10
  4. Step 4: Simplify right side
    755.84x = 235,906.32
  5. Step 5: Solve for x
    x = 235,906.32/755.84
  6. Step 6: Final answer
    x = 312.11

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