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Finding the Fourth Proportional to 816.13, 1,125.98 and 462.01

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Solution

The fourth proportional to 816.13, 1,125.98 and 462.01 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.13 : 1,125.98 = 462.01 : x
  2. Step 2: Convert to fraction form
    816.13/1,125.98 = 462.01/x
  3. Step 3: Cross multiply
    816.13x = 1,125.98 × 462.01
  4. Step 4: Simplify right side
    816.13x = 520,214.02
  5. Step 5: Solve for x
    x = 520,214.02/816.13
  6. Step 6: Final answer
    x = 637.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.