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Finding the Fourth Proportional to 747.19, 1,119.54 and 259.97

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Solution

The fourth proportional to 747.19, 1,119.54 and 259.97 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.19 : 1,119.54 = 259.97 : x
  2. Step 2: Convert to fraction form
    747.19/1,119.54 = 259.97/x
  3. Step 3: Cross multiply
    747.19x = 1,119.54 × 259.97
  4. Step 4: Simplify right side
    747.19x = 291,046.81
  5. Step 5: Solve for x
    x = 291,046.81/747.19
  6. Step 6: Final answer
    x = 389.52

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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.