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Finding the Fourth Proportional to 1,299.25, 1,947.70 and 477.35

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Solution

The fourth proportional to 1,299.25, 1,947.70 and 477.35 is: 715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.25 : 1,947.70 = 477.35 : x
  2. Step 2: Convert to fraction form
    1,299.25/1,947.70 = 477.35/x
  3. Step 3: Cross multiply
    1,299.25x = 1,947.70 × 477.35
  4. Step 4: Simplify right side
    1,299.25x = 929,734.60
  5. Step 5: Solve for x
    x = 929,734.60/1,299.25
  6. Step 6: Final answer
    x = 715.59

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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.