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Finding the Fourth Proportional to 1,299.26, 1,947.47 and 476.84

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Solution

The fourth proportional to 1,299.26, 1,947.47 and 476.84 is: 714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.26 : 1,947.47 = 476.84 : x
  2. Step 2: Convert to fraction form
    1,299.26/1,947.47 = 476.84/x
  3. Step 3: Cross multiply
    1,299.26x = 1,947.47 × 476.84
  4. Step 4: Simplify right side
    1,299.26x = 928,619.47
  5. Step 5: Solve for x
    x = 928,619.47/1,299.26
  6. Step 6: Final answer
    x = 714.73

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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.