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Finding the Fourth Proportional to 808, 1,114.64 and 509.11

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Solution

The fourth proportional to 808, 1,114.64 and 509.11 is: 702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    808 : 1,114.64 = 509.11 : x
  2. Step 2: Convert to fraction form
    808/1,114.64 = 509.11/x
  3. Step 3: Cross multiply
    808x = 1,114.64 × 509.11
  4. Step 4: Simplify right side
    808x = 567,474.37
  5. Step 5: Solve for x
    x = 567,474.37/808
  6. Step 6: Final answer
    x = 702.32

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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.