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Finding the Fourth Proportional to 749.24, 1,124.44 and 519.74

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Solution

The fourth proportional to 749.24, 1,124.44 and 519.74 is: 780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.24 : 1,124.44 = 519.74 : x
  2. Step 2: Convert to fraction form
    749.24/1,124.44 = 519.74/x
  3. Step 3: Cross multiply
    749.24x = 1,124.44 × 519.74
  4. Step 4: Simplify right side
    749.24x = 584,416.45
  5. Step 5: Solve for x
    x = 584,416.45/749.24
  6. Step 6: Final answer
    x = 780.01

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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.