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Finding the Fourth Proportional to 1,367.48, 2,050.94 and 534.54

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Solution

The fourth proportional to 1,367.48, 2,050.94 and 534.54 is: 801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.48 : 2,050.94 = 534.54 : x
  2. Step 2: Convert to fraction form
    1,367.48/2,050.94 = 534.54/x
  3. Step 3: Cross multiply
    1,367.48x = 2,050.94 × 534.54
  4. Step 4: Simplify right side
    1,367.48x = 1,096,309.47
  5. Step 5: Solve for x
    x = 1,096,309.47/1,367.48
  6. Step 6: Final answer
    x = 801.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.