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Finding the Fourth Proportional to 913.82, 1,368.36 and 830.57

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Solution

The fourth proportional to 913.82, 1,368.36 and 830.57 is: 1,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.82 : 1,368.36 = 830.57 : x
  2. Step 2: Convert to fraction form
    913.82/1,368.36 = 830.57/x
  3. Step 3: Cross multiply
    913.82x = 1,368.36 × 830.57
  4. Step 4: Simplify right side
    913.82x = 1,136,511.92
  5. Step 5: Solve for x
    x = 1,136,511.92/913.82
  6. Step 6: Final answer
    x = 1,243.70

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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.