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Finding the Fourth Proportional to 724.68, 1,085.47 and 416.37

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Solution

The fourth proportional to 724.68, 1,085.47 and 416.37 is: 623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.68 : 1,085.47 = 416.37 : x
  2. Step 2: Convert to fraction form
    724.68/1,085.47 = 416.37/x
  3. Step 3: Cross multiply
    724.68x = 1,085.47 × 416.37
  4. Step 4: Simplify right side
    724.68x = 451,960.17
  5. Step 5: Solve for x
    x = 451,960.17/724.68
  6. Step 6: Final answer
    x = 623.67

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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.