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Finding the Fourth Proportional to 839.46, 1,256.76 and 564.60

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Solution

The fourth proportional to 839.46, 1,256.76 and 564.60 is: 845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.46 : 1,256.76 = 564.60 : x
  2. Step 2: Convert to fraction form
    839.46/1,256.76 = 564.60/x
  3. Step 3: Cross multiply
    839.46x = 1,256.76 × 564.60
  4. Step 4: Simplify right side
    839.46x = 709,566.70
  5. Step 5: Solve for x
    x = 709,566.70/839.46
  6. Step 6: Final answer
    x = 845.27

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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.