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Finding the Fourth Proportional to 1,503.12, 2,254.92 and 462.87

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Solution

The fourth proportional to 1,503.12, 2,254.92 and 462.87 is: 694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.12 : 2,254.92 = 462.87 : x
  2. Step 2: Convert to fraction form
    1,503.12/2,254.92 = 462.87/x
  3. Step 3: Cross multiply
    1,503.12x = 2,254.92 × 462.87
  4. Step 4: Simplify right side
    1,503.12x = 1,043,734.82
  5. Step 5: Solve for x
    x = 1,043,734.82/1,503.12
  6. Step 6: Final answer
    x = 694.38

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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.