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Finding the Fourth Proportional to 940.15, 1,297.52 and 782.51

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Solution

The fourth proportional to 940.15, 1,297.52 and 782.51 is: 1,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.15 : 1,297.52 = 782.51 : x
  2. Step 2: Convert to fraction form
    940.15/1,297.52 = 782.51/x
  3. Step 3: Cross multiply
    940.15x = 1,297.52 × 782.51
  4. Step 4: Simplify right side
    940.15x = 1,015,314.91
  5. Step 5: Solve for x
    x = 1,015,314.91/940.15
  6. Step 6: Final answer
    x = 1,079.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.