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Finding the Fourth Proportional to 611.34, 842.67 and 563.64

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Solution

The fourth proportional to 611.34, 842.67 and 563.64 is: 776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.34 : 842.67 = 563.64 : x
  2. Step 2: Convert to fraction form
    611.34/842.67 = 563.64/x
  3. Step 3: Cross multiply
    611.34x = 842.67 × 563.64
  4. Step 4: Simplify right side
    611.34x = 474,962.52
  5. Step 5: Solve for x
    x = 474,962.52/611.34
  6. Step 6: Final answer
    x = 776.92

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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.