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Finding the Fourth Proportional to 802.14, 1,106.82 and 470.54

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Solution

The fourth proportional to 802.14, 1,106.82 and 470.54 is: 649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.14 : 1,106.82 = 470.54 : x
  2. Step 2: Convert to fraction form
    802.14/1,106.82 = 470.54/x
  3. Step 3: Cross multiply
    802.14x = 1,106.82 × 470.54
  4. Step 4: Simplify right side
    802.14x = 520,797.55
  5. Step 5: Solve for x
    x = 520,797.55/802.14
  6. Step 6: Final answer
    x = 649.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.