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Finding the Fourth Proportional to 808.77, 1,214.70 and 502.76

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Solution

The fourth proportional to 808.77, 1,214.70 and 502.76 is: 755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.77 : 1,214.70 = 502.76 : x
  2. Step 2: Convert to fraction form
    808.77/1,214.70 = 502.76/x
  3. Step 3: Cross multiply
    808.77x = 1,214.70 × 502.76
  4. Step 4: Simplify right side
    808.77x = 610,702.57
  5. Step 5: Solve for x
    x = 610,702.57/808.77
  6. Step 6: Final answer
    x = 755.10

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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.