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Finding the Fourth Proportional to 1,478.40, 2,218.02 and 829.60

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Solution

The fourth proportional to 1,478.40, 2,218.02 and 829.60 is: 1,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.40 : 2,218.02 = 829.60 : x
  2. Step 2: Convert to fraction form
    1,478.40/2,218.02 = 829.60/x
  3. Step 3: Cross multiply
    1,478.40x = 2,218.02 × 829.60
  4. Step 4: Simplify right side
    1,478.40x = 1,840,069.39
  5. Step 5: Solve for x
    x = 1,840,069.39/1,478.40
  6. Step 6: Final answer
    x = 1,244.64

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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.