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Finding the Fourth Proportional to 987.76, 1,482.20 and 519.28

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Solution

The fourth proportional to 987.76, 1,482.20 and 519.28 is: 779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.76 : 1,482.20 = 519.28 : x
  2. Step 2: Convert to fraction form
    987.76/1,482.20 = 519.28/x
  3. Step 3: Cross multiply
    987.76x = 1,482.20 × 519.28
  4. Step 4: Simplify right side
    987.76x = 769,676.82
  5. Step 5: Solve for x
    x = 769,676.82/987.76
  6. Step 6: Final answer
    x = 779.21

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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.