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Finding the Fourth Proportional to 1,122.29, 1,683.49 and 473.07

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Solution

The fourth proportional to 1,122.29, 1,683.49 and 473.07 is: 709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.29 : 1,683.49 = 473.07 : x
  2. Step 2: Convert to fraction form
    1,122.29/1,683.49 = 473.07/x
  3. Step 3: Cross multiply
    1,122.29x = 1,683.49 × 473.07
  4. Step 4: Simplify right side
    1,122.29x = 796,408.61
  5. Step 5: Solve for x
    x = 796,408.61/1,122.29
  6. Step 6: Final answer
    x = 709.63

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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.