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Finding the Fourth Proportional to 808.48, 1,206.12 and 786.16

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Solution

The fourth proportional to 808.48, 1,206.12 and 786.16 is: 1,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.48 : 1,206.12 = 786.16 : x
  2. Step 2: Convert to fraction form
    808.48/1,206.12 = 786.16/x
  3. Step 3: Cross multiply
    808.48x = 1,206.12 × 786.16
  4. Step 4: Simplify right side
    808.48x = 948,203.30
  5. Step 5: Solve for x
    x = 948,203.30/808.48
  6. Step 6: Final answer
    x = 1,172.82

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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.