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Finding the Fourth Proportional to 1,122.96, 1,684.44 and 472.80

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Solution

The fourth proportional to 1,122.96, 1,684.44 and 472.80 is: 709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.96 : 1,684.44 = 472.80 : x
  2. Step 2: Convert to fraction form
    1,122.96/1,684.44 = 472.80/x
  3. Step 3: Cross multiply
    1,122.96x = 1,684.44 × 472.80
  4. Step 4: Simplify right side
    1,122.96x = 796,403.23
  5. Step 5: Solve for x
    x = 796,403.23/1,122.96
  6. Step 6: Final answer
    x = 709.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.