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Finding the Fourth Proportional to 915.63, 1,263.96 and 584.48

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Solution

The fourth proportional to 915.63, 1,263.96 and 584.48 is: 806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.63 : 1,263.96 = 584.48 : x
  2. Step 2: Convert to fraction form
    915.63/1,263.96 = 584.48/x
  3. Step 3: Cross multiply
    915.63x = 1,263.96 × 584.48
  4. Step 4: Simplify right side
    915.63x = 738,753.02
  5. Step 5: Solve for x
    x = 738,753.02/915.63
  6. Step 6: Final answer
    x = 806.82

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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.