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Finding the Fourth Proportional to 916.12, 1,263.90 and 584.56

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Solution

The fourth proportional to 916.12, 1,263.90 and 584.56 is: 806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.12 : 1,263.90 = 584.56 : x
  2. Step 2: Convert to fraction form
    916.12/1,263.90 = 584.56/x
  3. Step 3: Cross multiply
    916.12x = 1,263.90 × 584.56
  4. Step 4: Simplify right side
    916.12x = 738,825.38
  5. Step 5: Solve for x
    x = 738,825.38/916.12
  6. Step 6: Final answer
    x = 806.47

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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.