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Finding the Fourth Proportional to 1,079.78, 1,618.64 and 688.68

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Solution

The fourth proportional to 1,079.78, 1,618.64 and 688.68 is: 1,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.78 : 1,618.64 = 688.68 : x
  2. Step 2: Convert to fraction form
    1,079.78/1,618.64 = 688.68/x
  3. Step 3: Cross multiply
    1,079.78x = 1,618.64 × 688.68
  4. Step 4: Simplify right side
    1,079.78x = 1,114,732.79
  5. Step 5: Solve for x
    x = 1,114,732.79/1,079.78
  6. Step 6: Final answer
    x = 1,032.37

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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.