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Finding the Fourth Proportional to 1,478.14, 2,217.09 and 828.70

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Solution

The fourth proportional to 1,478.14, 2,217.09 and 828.70 is: 1,242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.14 : 2,217.09 = 828.70 : x
  2. Step 2: Convert to fraction form
    1,478.14/2,217.09 = 828.70/x
  3. Step 3: Cross multiply
    1,478.14x = 2,217.09 × 828.70
  4. Step 4: Simplify right side
    1,478.14x = 1,837,302.48
  5. Step 5: Solve for x
    x = 1,837,302.48/1,478.14
  6. Step 6: Final answer
    x = 1,242.98

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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.