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Finding the Fourth Proportional to 916.82, 1,368.57 and 849.23

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Solution

The fourth proportional to 916.82, 1,368.57 and 849.23 is: 1,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.82 : 1,368.57 = 849.23 : x
  2. Step 2: Convert to fraction form
    916.82/1,368.57 = 849.23/x
  3. Step 3: Cross multiply
    916.82x = 1,368.57 × 849.23
  4. Step 4: Simplify right side
    916.82x = 1,162,237.48
  5. Step 5: Solve for x
    x = 1,162,237.48/916.82
  6. Step 6: Final answer
    x = 1,267.69

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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.