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Finding the Fourth Proportional to 806.02, 1,207.16 and 687.60

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Solution

The fourth proportional to 806.02, 1,207.16 and 687.60 is: 1,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.02 : 1,207.16 = 687.60 : x
  2. Step 2: Convert to fraction form
    806.02/1,207.16 = 687.60/x
  3. Step 3: Cross multiply
    806.02x = 1,207.16 × 687.60
  4. Step 4: Simplify right side
    806.02x = 830,043.22
  5. Step 5: Solve for x
    x = 830,043.22/806.02
  6. Step 6: Final answer
    x = 1,029.80

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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.