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Finding the Fourth Proportional to 983.66, 1,357.42 and 541.57

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Solution

The fourth proportional to 983.66, 1,357.42 and 541.57 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.66 : 1,357.42 = 541.57 : x
  2. Step 2: Convert to fraction form
    983.66/1,357.42 = 541.57/x
  3. Step 3: Cross multiply
    983.66x = 1,357.42 × 541.57
  4. Step 4: Simplify right side
    983.66x = 735,137.95
  5. Step 5: Solve for x
    x = 735,137.95/983.66
  6. Step 6: Final answer
    x = 747.35

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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.