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Finding the Fourth Proportional to 564.13, 840.86 and 519.49

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Solution

The fourth proportional to 564.13, 840.86 and 519.49 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.13 : 840.86 = 519.49 : x
  2. Step 2: Convert to fraction form
    564.13/840.86 = 519.49/x
  3. Step 3: Cross multiply
    564.13x = 840.86 × 519.49
  4. Step 4: Simplify right side
    564.13x = 436,818.36
  5. Step 5: Solve for x
    x = 436,818.36/564.13
  6. Step 6: Final answer
    x = 774.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.