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Finding the Fourth Proportional to 816.16, 1,126.24 and 462.08

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Solution

The fourth proportional to 816.16, 1,126.24 and 462.08 is: 637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.16 : 1,126.24 = 462.08 : x
  2. Step 2: Convert to fraction form
    816.16/1,126.24 = 462.08/x
  3. Step 3: Cross multiply
    816.16x = 1,126.24 × 462.08
  4. Step 4: Simplify right side
    816.16x = 520,412.98
  5. Step 5: Solve for x
    x = 520,412.98/816.16
  6. Step 6: Final answer
    x = 637.64

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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.