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Finding the Fourth Proportional to 808.35, 1,214.30 and 577.77

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Solution

The fourth proportional to 808.35, 1,214.30 and 577.77 is: 867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.35 : 1,214.30 = 577.77 : x
  2. Step 2: Convert to fraction form
    808.35/1,214.30 = 577.77/x
  3. Step 3: Cross multiply
    808.35x = 1,214.30 × 577.77
  4. Step 4: Simplify right side
    808.35x = 701,586.11
  5. Step 5: Solve for x
    x = 701,586.11/808.35
  6. Step 6: Final answer
    x = 867.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.