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Finding the Fourth Proportional to 808.16, 1,204.28 and 764

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Solution

The fourth proportional to 808.16, 1,204.28 and 764 is: 1,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.16 : 1,204.28 = 764 : x
  2. Step 2: Convert to fraction form
    808.16/1,204.28 = 764/x
  3. Step 3: Cross multiply
    808.16x = 1,204.28 × 764
  4. Step 4: Simplify right side
    808.16x = 920,069.92
  5. Step 5: Solve for x
    x = 920,069.92/808.16
  6. Step 6: Final answer
    x = 1,138.47

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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.