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Finding the Fourth Proportional to 1,518.22, 2,276.55 and 695.78

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Solution

The fourth proportional to 1,518.22, 2,276.55 and 695.78 is: 1,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.22 : 2,276.55 = 695.78 : x
  2. Step 2: Convert to fraction form
    1,518.22/2,276.55 = 695.78/x
  3. Step 3: Cross multiply
    1,518.22x = 2,276.55 × 695.78
  4. Step 4: Simplify right side
    1,518.22x = 1,583,971.42
  5. Step 5: Solve for x
    x = 1,583,971.42/1,518.22
  6. Step 6: Final answer
    x = 1,043.31

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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.