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Finding the Fourth Proportional to 983.83, 1,357.71 and 541.75

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Solution

The fourth proportional to 983.83, 1,357.71 and 541.75 is: 747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.83 : 1,357.71 = 541.75 : x
  2. Step 2: Convert to fraction form
    983.83/1,357.71 = 541.75/x
  3. Step 3: Cross multiply
    983.83x = 1,357.71 × 541.75
  4. Step 4: Simplify right side
    983.83x = 735,539.39
  5. Step 5: Solve for x
    x = 735,539.39/983.83
  6. Step 6: Final answer
    x = 747.63

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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.