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Finding the Fourth Proportional to 672.90, 1,008.27 and 564.90

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Solution

The fourth proportional to 672.90, 1,008.27 and 564.90 is: 846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.90 : 1,008.27 = 564.90 : x
  2. Step 2: Convert to fraction form
    672.90/1,008.27 = 564.90/x
  3. Step 3: Cross multiply
    672.90x = 1,008.27 × 564.90
  4. Step 4: Simplify right side
    672.90x = 569,571.72
  5. Step 5: Solve for x
    x = 569,571.72/672.90
  6. Step 6: Final answer
    x = 846.44

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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.