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Finding the Fourth Proportional to 816.12, 1,126.16 and 501.43

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Solution

The fourth proportional to 816.12, 1,126.16 and 501.43 is: 691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.12 : 1,126.16 = 501.43 : x
  2. Step 2: Convert to fraction form
    816.12/1,126.16 = 501.43/x
  3. Step 3: Cross multiply
    816.12x = 1,126.16 × 501.43
  4. Step 4: Simplify right side
    816.12x = 564,690.41
  5. Step 5: Solve for x
    x = 564,690.41/816.12
  6. Step 6: Final answer
    x = 691.92

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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.