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Finding the Fourth Proportional to 741.14, 1,109.93 and 586.56

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Solution

The fourth proportional to 741.14, 1,109.93 and 586.56 is: 878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.14 : 1,109.93 = 586.56 : x
  2. Step 2: Convert to fraction form
    741.14/1,109.93 = 586.56/x
  3. Step 3: Cross multiply
    741.14x = 1,109.93 × 586.56
  4. Step 4: Simplify right side
    741.14x = 651,040.54
  5. Step 5: Solve for x
    x = 651,040.54/741.14
  6. Step 6: Final answer
    x = 878.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.