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Finding the Fourth Proportional to 802.58, 1,107.14 and 470.97

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Solution

The fourth proportional to 802.58, 1,107.14 and 470.97 is: 649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.58 : 1,107.14 = 470.97 : x
  2. Step 2: Convert to fraction form
    802.58/1,107.14 = 470.97/x
  3. Step 3: Cross multiply
    802.58x = 1,107.14 × 470.97
  4. Step 4: Simplify right side
    802.58x = 521,427.37
  5. Step 5: Solve for x
    x = 521,427.37/802.58
  6. Step 6: Final answer
    x = 649.69

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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.