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Finding the Fourth Proportional to 564.83, 847.13 and 537.05

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Solution

The fourth proportional to 564.83, 847.13 and 537.05 is: 805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.83 : 847.13 = 537.05 : x
  2. Step 2: Convert to fraction form
    564.83/847.13 = 537.05/x
  3. Step 3: Cross multiply
    564.83x = 847.13 × 537.05
  4. Step 4: Simplify right side
    564.83x = 454,951.17
  5. Step 5: Solve for x
    x = 454,951.17/564.83
  6. Step 6: Final answer
    x = 805.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.