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Finding the Fourth Proportional to 674.33, 1,009.67 and 564.98

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Solution

The fourth proportional to 674.33, 1,009.67 and 564.98 is: 845.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.33 : 1,009.67 = 564.98 : x
  2. Step 2: Convert to fraction form
    674.33/1,009.67 = 564.98/x
  3. Step 3: Cross multiply
    674.33x = 1,009.67 × 564.98
  4. Step 4: Simplify right side
    674.33x = 570,435.48
  5. Step 5: Solve for x
    x = 570,435.48/674.33
  6. Step 6: Final answer
    x = 845.94

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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.