Home / 1,106.16-1,532.64-1,086.72

Finding the Fourth Proportional to 1,106.16, 1,532.64 and 1,086.72

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Solution

The fourth proportional to 1,106.16, 1,532.64 and 1,086.72 is: 1,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.16 : 1,532.64 = 1,086.72 : x
  2. Step 2: Convert to fraction form
    1,106.16/1,532.64 = 1,086.72/x
  3. Step 3: Cross multiply
    1,106.16x = 1,532.64 × 1,086.72
  4. Step 4: Simplify right side
    1,106.16x = 1,665,550.54
  5. Step 5: Solve for x
    x = 1,665,550.54/1,106.16
  6. Step 6: Final answer
    x = 1,505.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.