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Finding the Fourth Proportional to 835.60, 1,154.03 and 743.98

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Solution

The fourth proportional to 835.60, 1,154.03 and 743.98 is: 1,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.60 : 1,154.03 = 743.98 : x
  2. Step 2: Convert to fraction form
    835.60/1,154.03 = 743.98/x
  3. Step 3: Cross multiply
    835.60x = 1,154.03 × 743.98
  4. Step 4: Simplify right side
    835.60x = 858,575.24
  5. Step 5: Solve for x
    x = 858,575.24/835.60
  6. Step 6: Final answer
    x = 1,027.50

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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.