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Finding the Fourth Proportional to 915.58, 1,264.04 and 584.52

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Solution

The fourth proportional to 915.58, 1,264.04 and 584.52 is: 806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.58 : 1,264.04 = 584.52 : x
  2. Step 2: Convert to fraction form
    915.58/1,264.04 = 584.52/x
  3. Step 3: Cross multiply
    915.58x = 1,264.04 × 584.52
  4. Step 4: Simplify right side
    915.58x = 738,856.66
  5. Step 5: Solve for x
    x = 738,856.66/915.58
  6. Step 6: Final answer
    x = 806.98

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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.