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Finding the Fourth Proportional to 1,577.76, 2,368.10 and 798.31

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Solution

The fourth proportional to 1,577.76, 2,368.10 and 798.31 is: 1,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.76 : 2,368.10 = 798.31 : x
  2. Step 2: Convert to fraction form
    1,577.76/2,368.10 = 798.31/x
  3. Step 3: Cross multiply
    1,577.76x = 2,368.10 × 798.31
  4. Step 4: Simplify right side
    1,577.76x = 1,890,479.91
  5. Step 5: Solve for x
    x = 1,890,479.91/1,577.76
  6. Step 6: Final answer
    x = 1,198.21

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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.