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Finding the Fourth Proportional to 895.79, 1,344.17 and 408.83

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Solution

The fourth proportional to 895.79, 1,344.17 and 408.83 is: 613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.79 : 1,344.17 = 408.83 : x
  2. Step 2: Convert to fraction form
    895.79/1,344.17 = 408.83/x
  3. Step 3: Cross multiply
    895.79x = 1,344.17 × 408.83
  4. Step 4: Simplify right side
    895.79x = 549,531.32
  5. Step 5: Solve for x
    x = 549,531.32/895.79
  6. Step 6: Final answer
    x = 613.46

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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.