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Finding the Fourth Proportional to 1,503.14, 2,253.86 and 462.86

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Solution

The fourth proportional to 1,503.14, 2,253.86 and 462.86 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.14 : 2,253.86 = 462.86 : x
  2. Step 2: Convert to fraction form
    1,503.14/2,253.86 = 462.86/x
  3. Step 3: Cross multiply
    1,503.14x = 2,253.86 × 462.86
  4. Step 4: Simplify right side
    1,503.14x = 1,043,221.64
  5. Step 5: Solve for x
    x = 1,043,221.64/1,503.14
  6. Step 6: Final answer
    x = 694.03

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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.