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Finding the Fourth Proportional to 1,435.34, 2,153.31 and 462.12

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Solution

The fourth proportional to 1,435.34, 2,153.31 and 462.12 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.34 : 2,153.31 = 462.12 : x
  2. Step 2: Convert to fraction form
    1,435.34/2,153.31 = 462.12/x
  3. Step 3: Cross multiply
    1,435.34x = 2,153.31 × 462.12
  4. Step 4: Simplify right side
    1,435.34x = 995,087.62
  5. Step 5: Solve for x
    x = 995,087.62/1,435.34
  6. Step 6: Final answer
    x = 693.28

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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.