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Finding the Fourth Proportional to 1,436.82, 2,154.74 and 462.68

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Solution

The fourth proportional to 1,436.82, 2,154.74 and 462.68 is: 693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.82 : 2,154.74 = 462.68 : x
  2. Step 2: Convert to fraction form
    1,436.82/2,154.74 = 462.68/x
  3. Step 3: Cross multiply
    1,436.82x = 2,154.74 × 462.68
  4. Step 4: Simplify right side
    1,436.82x = 996,955.10
  5. Step 5: Solve for x
    x = 996,955.10/1,436.82
  6. Step 6: Final answer
    x = 693.86

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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.