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Finding the Fourth Proportional to 1,436.77, 2,155.07 and 462.81

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Solution

The fourth proportional to 1,436.77, 2,155.07 and 462.81 is: 694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.77 : 2,155.07 = 462.81 : x
  2. Step 2: Convert to fraction form
    1,436.77/2,155.07 = 462.81/x
  3. Step 3: Cross multiply
    1,436.77x = 2,155.07 × 462.81
  4. Step 4: Simplify right side
    1,436.77x = 997,397.19
  5. Step 5: Solve for x
    x = 997,397.19/1,436.77
  6. Step 6: Final answer
    x = 694.19

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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.