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Finding the Fourth Proportional to 895.34, 1,342.49 and 408.13

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Solution

The fourth proportional to 895.34, 1,342.49 and 408.13 is: 611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.34 : 1,342.49 = 408.13 : x
  2. Step 2: Convert to fraction form
    895.34/1,342.49 = 408.13/x
  3. Step 3: Cross multiply
    895.34x = 1,342.49 × 408.13
  4. Step 4: Simplify right side
    895.34x = 547,903.73
  5. Step 5: Solve for x
    x = 547,903.73/895.34
  6. Step 6: Final answer
    x = 611.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.