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Finding the Fourth Proportional to 1,057.79, 1,578.86 and 936.15

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Solution

The fourth proportional to 1,057.79, 1,578.86 and 936.15 is: 1,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.79 : 1,578.86 = 936.15 : x
  2. Step 2: Convert to fraction form
    1,057.79/1,578.86 = 936.15/x
  3. Step 3: Cross multiply
    1,057.79x = 1,578.86 × 936.15
  4. Step 4: Simplify right side
    1,057.79x = 1,478,045.11
  5. Step 5: Solve for x
    x = 1,478,045.11/1,057.79
  6. Step 6: Final answer
    x = 1,397.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.