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Finding the Fourth Proportional to 802.04, 1,106.34 and 491

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Solution

The fourth proportional to 802.04, 1,106.34 and 491 is: 677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.04 : 1,106.34 = 491 : x
  2. Step 2: Convert to fraction form
    802.04/1,106.34 = 491/x
  3. Step 3: Cross multiply
    802.04x = 1,106.34 × 491
  4. Step 4: Simplify right side
    802.04x = 543,212.94
  5. Step 5: Solve for x
    x = 543,212.94/802.04
  6. Step 6: Final answer
    x = 677.29

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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.