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Finding the Fourth Proportional to 808, 1,114.08 and 660.32

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Solution

The fourth proportional to 808, 1,114.08 and 660.32 is: 910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    808 : 1,114.08 = 660.32 : x
  2. Step 2: Convert to fraction form
    808/1,114.08 = 660.32/x
  3. Step 3: Cross multiply
    808x = 1,114.08 × 660.32
  4. Step 4: Simplify right side
    808x = 735,649.31
  5. Step 5: Solve for x
    x = 735,649.31/808
  6. Step 6: Final answer
    x = 910.46

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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.