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Finding the Fourth Proportional to 983.78, 1,357.61 and 541.67

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Solution

The fourth proportional to 983.78, 1,357.61 and 541.67 is: 747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.78 : 1,357.61 = 541.67 : x
  2. Step 2: Convert to fraction form
    983.78/1,357.61 = 541.67/x
  3. Step 3: Cross multiply
    983.78x = 1,357.61 × 541.67
  4. Step 4: Simplify right side
    983.78x = 735,367.11
  5. Step 5: Solve for x
    x = 735,367.11/983.78
  6. Step 6: Final answer
    x = 747.50

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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.