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Finding the Fourth Proportional to 1,863.75, 2,795.63 and 477.04

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Solution

The fourth proportional to 1,863.75, 2,795.63 and 477.04 is: 715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.75 : 2,795.63 = 477.04 : x
  2. Step 2: Convert to fraction form
    1,863.75/2,795.63 = 477.04/x
  3. Step 3: Cross multiply
    1,863.75x = 2,795.63 × 477.04
  4. Step 4: Simplify right side
    1,863.75x = 1,333,610.97
  5. Step 5: Solve for x
    x = 1,333,610.97/1,863.75
  6. Step 6: Final answer
    x = 715.55

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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.