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Finding the Fourth Proportional to 1,368.80, 2,052.80 and 491.20

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Solution

The fourth proportional to 1,368.80, 2,052.80 and 491.20 is: 736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.80 : 2,052.80 = 491.20 : x
  2. Step 2: Convert to fraction form
    1,368.80/2,052.80 = 491.20/x
  3. Step 3: Cross multiply
    1,368.80x = 2,052.80 × 491.20
  4. Step 4: Simplify right side
    1,368.80x = 1,008,335.36
  5. Step 5: Solve for x
    x = 1,008,335.36/1,368.80
  6. Step 6: Final answer
    x = 736.66

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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.