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Finding the Fourth Proportional to 740.95, 1,112.09 and 394.57

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Solution

The fourth proportional to 740.95, 1,112.09 and 394.57 is: 592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.95 : 1,112.09 = 394.57 : x
  2. Step 2: Convert to fraction form
    740.95/1,112.09 = 394.57/x
  3. Step 3: Cross multiply
    740.95x = 1,112.09 × 394.57
  4. Step 4: Simplify right side
    740.95x = 438,797.35
  5. Step 5: Solve for x
    x = 438,797.35/740.95
  6. Step 6: Final answer
    x = 592.21

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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.