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Finding the Fourth Proportional to 895.20, 1,234.77 and 729.42

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Solution

The fourth proportional to 895.20, 1,234.77 and 729.42 is: 1,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.20 : 1,234.77 = 729.42 : x
  2. Step 2: Convert to fraction form
    895.20/1,234.77 = 729.42/x
  3. Step 3: Cross multiply
    895.20x = 1,234.77 × 729.42
  4. Step 4: Simplify right side
    895.20x = 900,665.93
  5. Step 5: Solve for x
    x = 900,665.93/895.20
  6. Step 6: Final answer
    x = 1,006.11

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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.