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Finding the Fourth Proportional to 895.66, 1,234.44 and 659.34

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Solution

The fourth proportional to 895.66, 1,234.44 and 659.34 is: 908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.66 : 1,234.44 = 659.34 : x
  2. Step 2: Convert to fraction form
    895.66/1,234.44 = 659.34/x
  3. Step 3: Cross multiply
    895.66x = 1,234.44 × 659.34
  4. Step 4: Simplify right side
    895.66x = 813,915.67
  5. Step 5: Solve for x
    x = 813,915.67/895.66
  6. Step 6: Final answer
    x = 908.74

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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.