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Finding the Fourth Proportional to 617.37, 929.73 and 563.10

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Solution

The fourth proportional to 617.37, 929.73 and 563.10 is: 848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.37 : 929.73 = 563.10 : x
  2. Step 2: Convert to fraction form
    617.37/929.73 = 563.10/x
  3. Step 3: Cross multiply
    617.37x = 929.73 × 563.10
  4. Step 4: Simplify right side
    617.37x = 523,530.96
  5. Step 5: Solve for x
    x = 523,530.96/617.37
  6. Step 6: Final answer
    x = 848.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.