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Finding the Fourth Proportional to 740.71, 1,110.94 and 192.88

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Solution

The fourth proportional to 740.71, 1,110.94 and 192.88 is: 289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.71 : 1,110.94 = 192.88 : x
  2. Step 2: Convert to fraction form
    740.71/1,110.94 = 192.88/x
  3. Step 3: Cross multiply
    740.71x = 1,110.94 × 192.88
  4. Step 4: Simplify right side
    740.71x = 214,278.11
  5. Step 5: Solve for x
    x = 214,278.11/740.71
  6. Step 6: Final answer
    x = 289.29

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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.