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Finding the Fourth Proportional to 802.18, 1,106.85 and 470.71

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Solution

The fourth proportional to 802.18, 1,106.85 and 470.71 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.18 : 1,106.85 = 470.71 : x
  2. Step 2: Convert to fraction form
    802.18/1,106.85 = 470.71/x
  3. Step 3: Cross multiply
    802.18x = 1,106.85 × 470.71
  4. Step 4: Simplify right side
    802.18x = 521,005.36
  5. Step 5: Solve for x
    x = 521,005.36/802.18
  6. Step 6: Final answer
    x = 649.49

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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.