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Finding the Fourth Proportional to 744.06, 1,115.73 and 589.62

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Solution

The fourth proportional to 744.06, 1,115.73 and 589.62 is: 884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.06 : 1,115.73 = 589.62 : x
  2. Step 2: Convert to fraction form
    744.06/1,115.73 = 589.62/x
  3. Step 3: Cross multiply
    744.06x = 1,115.73 × 589.62
  4. Step 4: Simplify right side
    744.06x = 657,856.72
  5. Step 5: Solve for x
    x = 657,856.72/744.06
  6. Step 6: Final answer
    x = 884.14

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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.