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Finding the Fourth Proportional to 994.04, 1,370.18 and 783.86

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Solution

The fourth proportional to 994.04, 1,370.18 and 783.86 is: 1,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.04 : 1,370.18 = 783.86 : x
  2. Step 2: Convert to fraction form
    994.04/1,370.18 = 783.86/x
  3. Step 3: Cross multiply
    994.04x = 1,370.18 × 783.86
  4. Step 4: Simplify right side
    994.04x = 1,074,029.29
  5. Step 5: Solve for x
    x = 1,074,029.29/994.04
  6. Step 6: Final answer
    x = 1,080.47

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