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Finding the Fourth Proportional to 1,122.40, 1,682.57 and 473.18

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Solution

The fourth proportional to 1,122.40, 1,682.57 and 473.18 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.40 : 1,682.57 = 473.18 : x
  2. Step 2: Convert to fraction form
    1,122.40/1,682.57 = 473.18/x
  3. Step 3: Cross multiply
    1,122.40x = 1,682.57 × 473.18
  4. Step 4: Simplify right side
    1,122.40x = 796,158.47
  5. Step 5: Solve for x
    x = 796,158.47/1,122.40
  6. Step 6: Final answer
    x = 709.34

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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.