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Finding the Fourth Proportional to 895.30, 1,343.62 and 408.69

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Solution

The fourth proportional to 895.30, 1,343.62 and 408.69 is: 613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.30 : 1,343.62 = 408.69 : x
  2. Step 2: Convert to fraction form
    895.30/1,343.62 = 408.69/x
  3. Step 3: Cross multiply
    895.30x = 1,343.62 × 408.69
  4. Step 4: Simplify right side
    895.30x = 549,124.57
  5. Step 5: Solve for x
    x = 549,124.57/895.30
  6. Step 6: Final answer
    x = 613.34

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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.