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Finding the Fourth Proportional to 983.75, 1,357.54 and 541.64

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Solution

The fourth proportional to 983.75, 1,357.54 and 541.64 is: 747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.75 : 1,357.54 = 541.64 : x
  2. Step 2: Convert to fraction form
    983.75/1,357.54 = 541.64/x
  3. Step 3: Cross multiply
    983.75x = 1,357.54 × 541.64
  4. Step 4: Simplify right side
    983.75x = 735,295.26
  5. Step 5: Solve for x
    x = 735,295.26/983.75
  6. Step 6: Final answer
    x = 747.44

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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.