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Finding the Fourth Proportional to 1,122.44, 1,683.66 and 472.46

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Solution

The fourth proportional to 1,122.44, 1,683.66 and 472.46 is: 708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.44 : 1,683.66 = 472.46 : x
  2. Step 2: Convert to fraction form
    1,122.44/1,683.66 = 472.46/x
  3. Step 3: Cross multiply
    1,122.44x = 1,683.66 × 472.46
  4. Step 4: Simplify right side
    1,122.44x = 795,462.00
  5. Step 5: Solve for x
    x = 795,462.00/1,122.44
  6. Step 6: Final answer
    x = 708.69

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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.