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Finding the Fourth Proportional to 806.98, 1,114.29 and 657.63

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Solution

The fourth proportional to 806.98, 1,114.29 and 657.63 is: 908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.98 : 1,114.29 = 657.63 : x
  2. Step 2: Convert to fraction form
    806.98/1,114.29 = 657.63/x
  3. Step 3: Cross multiply
    806.98x = 1,114.29 × 657.63
  4. Step 4: Simplify right side
    806.98x = 732,784.96
  5. Step 5: Solve for x
    x = 732,784.96/806.98
  6. Step 6: Final answer
    x = 908.06

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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.