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Finding the Fourth Proportional to 808.48, 1,204.10 and 779.77

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Solution

The fourth proportional to 808.48, 1,204.10 and 779.77 is: 1,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.48 : 1,204.10 = 779.77 : x
  2. Step 2: Convert to fraction form
    808.48/1,204.10 = 779.77/x
  3. Step 3: Cross multiply
    808.48x = 1,204.10 × 779.77
  4. Step 4: Simplify right side
    808.48x = 938,921.06
  5. Step 5: Solve for x
    x = 938,921.06/808.48
  6. Step 6: Final answer
    x = 1,161.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.