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Finding the Fourth Proportional to 802.34, 1,204.31 and 571.49

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Solution

The fourth proportional to 802.34, 1,204.31 and 571.49 is: 857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.34 : 1,204.31 = 571.49 : x
  2. Step 2: Convert to fraction form
    802.34/1,204.31 = 571.49/x
  3. Step 3: Cross multiply
    802.34x = 1,204.31 × 571.49
  4. Step 4: Simplify right side
    802.34x = 688,251.12
  5. Step 5: Solve for x
    x = 688,251.12/802.34
  6. Step 6: Final answer
    x = 857.80

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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.