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Finding the Fourth Proportional to 942.69, 1,411.14 and 849.75

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Solution

The fourth proportional to 942.69, 1,411.14 and 849.75 is: 1,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.69 : 1,411.14 = 849.75 : x
  2. Step 2: Convert to fraction form
    942.69/1,411.14 = 849.75/x
  3. Step 3: Cross multiply
    942.69x = 1,411.14 × 849.75
  4. Step 4: Simplify right side
    942.69x = 1,199,116.22
  5. Step 5: Solve for x
    x = 1,199,116.22/942.69
  6. Step 6: Final answer
    x = 1,272.02

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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.