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Finding the Fourth Proportional to 817.34, 1,126.06 and 565.02

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Solution

The fourth proportional to 817.34, 1,126.06 and 565.02 is: 778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.34 : 1,126.06 = 565.02 : x
  2. Step 2: Convert to fraction form
    817.34/1,126.06 = 565.02/x
  3. Step 3: Cross multiply
    817.34x = 1,126.06 × 565.02
  4. Step 4: Simplify right side
    817.34x = 636,245.01
  5. Step 5: Solve for x
    x = 636,245.01/817.34
  6. Step 6: Final answer
    x = 778.44

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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.