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Finding the Fourth Proportional to 848.13, 1,172.85 and 809.45

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Solution

The fourth proportional to 848.13, 1,172.85 and 809.45 is: 1,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.13 : 1,172.85 = 809.45 : x
  2. Step 2: Convert to fraction form
    848.13/1,172.85 = 809.45/x
  3. Step 3: Cross multiply
    848.13x = 1,172.85 × 809.45
  4. Step 4: Simplify right side
    848.13x = 949,363.43
  5. Step 5: Solve for x
    x = 949,363.43/848.13
  6. Step 6: Final answer
    x = 1,119.36

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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.