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Finding the Fourth Proportional to 1,436.58, 2,154.20 and 462.42

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Solution

The fourth proportional to 1,436.58, 2,154.20 and 462.42 is: 693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.58 : 2,154.20 = 462.42 : x
  2. Step 2: Convert to fraction form
    1,436.58/2,154.20 = 462.42/x
  3. Step 3: Cross multiply
    1,436.58x = 2,154.20 × 462.42
  4. Step 4: Simplify right side
    1,436.58x = 996,142.85
  5. Step 5: Solve for x
    x = 996,142.85/1,436.58
  6. Step 6: Final answer
    x = 693.41

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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.