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Finding the Fourth Proportional to 1,108.64, 1,664.48 and 696.56

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Solution

The fourth proportional to 1,108.64, 1,664.48 and 696.56 is: 1,045.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.64 : 1,664.48 = 696.56 : x
  2. Step 2: Convert to fraction form
    1,108.64/1,664.48 = 696.56/x
  3. Step 3: Cross multiply
    1,108.64x = 1,664.48 × 696.56
  4. Step 4: Simplify right side
    1,108.64x = 1,159,403.61
  5. Step 5: Solve for x
    x = 1,159,403.61/1,108.64
  6. Step 6: Final answer
    x = 1,045.79

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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.