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Finding the Fourth Proportional to 672.28, 1,007.33 and 564.28

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Solution

The fourth proportional to 672.28, 1,007.33 and 564.28 is: 845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.28 : 1,007.33 = 564.28 : x
  2. Step 2: Convert to fraction form
    672.28/1,007.33 = 564.28/x
  3. Step 3: Cross multiply
    672.28x = 1,007.33 × 564.28
  4. Step 4: Simplify right side
    672.28x = 568,411.14
  5. Step 5: Solve for x
    x = 568,411.14/672.28
  6. Step 6: Final answer
    x = 845.50

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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.