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Finding the Fourth Proportional to 816.16, 1,126.20 and 566.92

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Solution

The fourth proportional to 816.16, 1,126.20 and 566.92 is: 782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.16 : 1,126.20 = 566.92 : x
  2. Step 2: Convert to fraction form
    816.16/1,126.20 = 566.92/x
  3. Step 3: Cross multiply
    816.16x = 1,126.20 × 566.92
  4. Step 4: Simplify right side
    816.16x = 638,465.30
  5. Step 5: Solve for x
    x = 638,465.30/816.16
  6. Step 6: Final answer
    x = 782.28

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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.