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Finding the Fourth Proportional to 1,478.83, 2,218.45 and 491.31

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Solution

The fourth proportional to 1,478.83, 2,218.45 and 491.31 is: 737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.83 : 2,218.45 = 491.31 : x
  2. Step 2: Convert to fraction form
    1,478.83/2,218.45 = 491.31/x
  3. Step 3: Cross multiply
    1,478.83x = 2,218.45 × 491.31
  4. Step 4: Simplify right side
    1,478.83x = 1,089,935.58
  5. Step 5: Solve for x
    x = 1,089,935.58/1,478.83
  6. Step 6: Final answer
    x = 737.03

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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.