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Finding the Fourth Proportional to 802.84, 1,107.86 and 466.76

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Solution

The fourth proportional to 802.84, 1,107.86 and 466.76 is: 644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.84 : 1,107.86 = 466.76 : x
  2. Step 2: Convert to fraction form
    802.84/1,107.86 = 466.76/x
  3. Step 3: Cross multiply
    802.84x = 1,107.86 × 466.76
  4. Step 4: Simplify right side
    802.84x = 517,104.73
  5. Step 5: Solve for x
    x = 517,104.73/802.84
  6. Step 6: Final answer
    x = 644.09

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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.