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Finding the Fourth Proportional to 943.30, 1,407.38 and 839.35

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Solution

The fourth proportional to 943.30, 1,407.38 and 839.35 is: 1,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.30 : 1,407.38 = 839.35 : x
  2. Step 2: Convert to fraction form
    943.30/1,407.38 = 839.35/x
  3. Step 3: Cross multiply
    943.30x = 1,407.38 × 839.35
  4. Step 4: Simplify right side
    943.30x = 1,181,284.40
  5. Step 5: Solve for x
    x = 1,181,284.40/943.30
  6. Step 6: Final answer
    x = 1,252.29

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Why These Related Problems?

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