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Finding the Fourth Proportional to 895.64, 1,343.14 and 408.42

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Solution

The fourth proportional to 895.64, 1,343.14 and 408.42 is: 612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.64 : 1,343.14 = 408.42 : x
  2. Step 2: Convert to fraction form
    895.64/1,343.14 = 408.42/x
  3. Step 3: Cross multiply
    895.64x = 1,343.14 × 408.42
  4. Step 4: Simplify right side
    895.64x = 548,565.24
  5. Step 5: Solve for x
    x = 548,565.24/895.64
  6. Step 6: Final answer
    x = 612.48

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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.