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Finding the Fourth Proportional to 749.45, 1,124.08 and 194.15

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Solution

The fourth proportional to 749.45, 1,124.08 and 194.15 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.45 : 1,124.08 = 194.15 : x
  2. Step 2: Convert to fraction form
    749.45/1,124.08 = 194.15/x
  3. Step 3: Cross multiply
    749.45x = 1,124.08 × 194.15
  4. Step 4: Simplify right side
    749.45x = 218,242.46
  5. Step 5: Solve for x
    x = 218,242.46/749.45
  6. Step 6: Final answer
    x = 291.20

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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.