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Finding the Fourth Proportional to 915.49, 1,263.78 and 584.37

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Solution

The fourth proportional to 915.49, 1,263.78 and 584.37 is: 806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.49 : 1,263.78 = 584.37 : x
  2. Step 2: Convert to fraction form
    915.49/1,263.78 = 584.37/x
  3. Step 3: Cross multiply
    915.49x = 1,263.78 × 584.37
  4. Step 4: Simplify right side
    915.49x = 738,515.12
  5. Step 5: Solve for x
    x = 738,515.12/915.49
  6. Step 6: Final answer
    x = 806.69

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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.