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Finding the Fourth Proportional to 1,208.24, 1,812.80 and 477.92

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Solution

The fourth proportional to 1,208.24, 1,812.80 and 477.92 is: 717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.24 : 1,812.80 = 477.92 : x
  2. Step 2: Convert to fraction form
    1,208.24/1,812.80 = 477.92/x
  3. Step 3: Cross multiply
    1,208.24x = 1,812.80 × 477.92
  4. Step 4: Simplify right side
    1,208.24x = 866,373.38
  5. Step 5: Solve for x
    x = 866,373.38/1,208.24
  6. Step 6: Final answer
    x = 717.05

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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.