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Finding the Fourth Proportional to 1,435.97, 2,153.82 and 462.13

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Solution

The fourth proportional to 1,435.97, 2,153.82 and 462.13 is: 693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.97 : 2,153.82 = 462.13 : x
  2. Step 2: Convert to fraction form
    1,435.97/2,153.82 = 462.13/x
  3. Step 3: Cross multiply
    1,435.97x = 2,153.82 × 462.13
  4. Step 4: Simplify right side
    1,435.97x = 995,344.84
  5. Step 5: Solve for x
    x = 995,344.84/1,435.97
  6. Step 6: Final answer
    x = 693.15

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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.