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Finding the Fourth Proportional to 983.82, 1,357.59 and 541.71

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Solution

The fourth proportional to 983.82, 1,357.59 and 541.71 is: 747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.82 : 1,357.59 = 541.71 : x
  2. Step 2: Convert to fraction form
    983.82/1,357.59 = 541.71/x
  3. Step 3: Cross multiply
    983.82x = 1,357.59 × 541.71
  4. Step 4: Simplify right side
    983.82x = 735,420.08
  5. Step 5: Solve for x
    x = 735,420.08/983.82
  6. Step 6: Final answer
    x = 747.51

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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.