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Finding the Fourth Proportional to 1,027.76, 1,542.23 and 434.75

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Solution

The fourth proportional to 1,027.76, 1,542.23 and 434.75 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.76 : 1,542.23 = 434.75 : x
  2. Step 2: Convert to fraction form
    1,027.76/1,542.23 = 434.75/x
  3. Step 3: Cross multiply
    1,027.76x = 1,542.23 × 434.75
  4. Step 4: Simplify right side
    1,027.76x = 670,474.61
  5. Step 5: Solve for x
    x = 670,474.61/1,027.76
  6. Step 6: Final answer
    x = 652.37

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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.