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Finding the Fourth Proportional to 915.06, 1,261.65 and 796.59

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Solution

The fourth proportional to 915.06, 1,261.65 and 796.59 is: 1,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.06 : 1,261.65 = 796.59 : x
  2. Step 2: Convert to fraction form
    915.06/1,261.65 = 796.59/x
  3. Step 3: Cross multiply
    915.06x = 1,261.65 × 796.59
  4. Step 4: Simplify right side
    915.06x = 1,005,017.77
  5. Step 5: Solve for x
    x = 1,005,017.77/915.06
  6. Step 6: Final answer
    x = 1,098.31

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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.