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Finding the Fourth Proportional to 1,216.50, 1,823.74 and 475.74

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Solution

The fourth proportional to 1,216.50, 1,823.74 and 475.74 is: 713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.50 : 1,823.74 = 475.74 : x
  2. Step 2: Convert to fraction form
    1,216.50/1,823.74 = 475.74/x
  3. Step 3: Cross multiply
    1,216.50x = 1,823.74 × 475.74
  4. Step 4: Simplify right side
    1,216.50x = 867,626.07
  5. Step 5: Solve for x
    x = 867,626.07/1,216.50
  6. Step 6: Final answer
    x = 713.22

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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.