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Finding the Fourth Proportional to 915.98, 1,263.67 and 666.83

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Solution

The fourth proportional to 915.98, 1,263.67 and 666.83 is: 919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.98 : 1,263.67 = 666.83 : x
  2. Step 2: Convert to fraction form
    915.98/1,263.67 = 666.83/x
  3. Step 3: Cross multiply
    915.98x = 1,263.67 × 666.83
  4. Step 4: Simplify right side
    915.98x = 842,654.56
  5. Step 5: Solve for x
    x = 842,654.56/915.98
  6. Step 6: Final answer
    x = 919.95

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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.