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Finding the Fourth Proportional to 749.96, 1,124.48 and 359.84

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Solution

The fourth proportional to 749.96, 1,124.48 and 359.84 is: 539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.96 : 1,124.48 = 359.84 : x
  2. Step 2: Convert to fraction form
    749.96/1,124.48 = 359.84/x
  3. Step 3: Cross multiply
    749.96x = 1,124.48 × 359.84
  4. Step 4: Simplify right side
    749.96x = 404,636.59
  5. Step 5: Solve for x
    x = 404,636.59/749.96
  6. Step 6: Final answer
    x = 539.55

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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.