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Finding the Fourth Proportional to 983.41, 1,476.77 and 939.53

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Solution

The fourth proportional to 983.41, 1,476.77 and 939.53 is: 1,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.41 : 1,476.77 = 939.53 : x
  2. Step 2: Convert to fraction form
    983.41/1,476.77 = 939.53/x
  3. Step 3: Cross multiply
    983.41x = 1,476.77 × 939.53
  4. Step 4: Simplify right side
    983.41x = 1,387,468.71
  5. Step 5: Solve for x
    x = 1,387,468.71/983.41
  6. Step 6: Final answer
    x = 1,410.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.