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Finding the Fourth Proportional to 1,113.28, 1,669.80 and 679.68

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Solution

The fourth proportional to 1,113.28, 1,669.80 and 679.68 is: 1,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.28 : 1,669.80 = 679.68 : x
  2. Step 2: Convert to fraction form
    1,113.28/1,669.80 = 679.68/x
  3. Step 3: Cross multiply
    1,113.28x = 1,669.80 × 679.68
  4. Step 4: Simplify right side
    1,113.28x = 1,134,929.66
  5. Step 5: Solve for x
    x = 1,134,929.66/1,113.28
  6. Step 6: Final answer
    x = 1,019.45

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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.