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Finding the Fourth Proportional to 953.93, 1,314.27 and 849.03

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Solution

The fourth proportional to 953.93, 1,314.27 and 849.03 is: 1,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.93 : 1,314.27 = 849.03 : x
  2. Step 2: Convert to fraction form
    953.93/1,314.27 = 849.03/x
  3. Step 3: Cross multiply
    953.93x = 1,314.27 × 849.03
  4. Step 4: Simplify right side
    953.93x = 1,115,854.66
  5. Step 5: Solve for x
    x = 1,115,854.66/953.93
  6. Step 6: Final answer
    x = 1,169.75

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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.