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Finding the Fourth Proportional to 915.46, 1,263.86 and 584.16

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Solution

The fourth proportional to 915.46, 1,263.86 and 584.16 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.46 : 1,263.86 = 584.16 : x
  2. Step 2: Convert to fraction form
    915.46/1,263.86 = 584.16/x
  3. Step 3: Cross multiply
    915.46x = 1,263.86 × 584.16
  4. Step 4: Simplify right side
    915.46x = 738,296.46
  5. Step 5: Solve for x
    x = 738,296.46/915.46
  6. Step 6: Final answer
    x = 806.48

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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.