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Finding the Fourth Proportional to 610.08, 841.91 and 563.57

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Solution

The fourth proportional to 610.08, 841.91 and 563.57 is: 777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.08 : 841.91 = 563.57 : x
  2. Step 2: Convert to fraction form
    610.08/841.91 = 563.57/x
  3. Step 3: Cross multiply
    610.08x = 841.91 × 563.57
  4. Step 4: Simplify right side
    610.08x = 474,475.22
  5. Step 5: Solve for x
    x = 474,475.22/610.08
  6. Step 6: Final answer
    x = 777.73

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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.