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Finding the Fourth Proportional to 1,403.33, 2,103.30 and 817.20

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Solution

The fourth proportional to 1,403.33, 2,103.30 and 817.20 is: 1,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.33 : 2,103.30 = 817.20 : x
  2. Step 2: Convert to fraction form
    1,403.33/2,103.30 = 817.20/x
  3. Step 3: Cross multiply
    1,403.33x = 2,103.30 × 817.20
  4. Step 4: Simplify right side
    1,403.33x = 1,718,816.76
  5. Step 5: Solve for x
    x = 1,718,816.76/1,403.33
  6. Step 6: Final answer
    x = 1,224.82

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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.