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Finding the Fourth Proportional to 895.77, 1,342.56 and 408.15

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Solution

The fourth proportional to 895.77, 1,342.56 and 408.15 is: 611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.77 : 1,342.56 = 408.15 : x
  2. Step 2: Convert to fraction form
    895.77/1,342.56 = 408.15/x
  3. Step 3: Cross multiply
    895.77x = 1,342.56 × 408.15
  4. Step 4: Simplify right side
    895.77x = 547,965.86
  5. Step 5: Solve for x
    x = 547,965.86/895.77
  6. Step 6: Final answer
    x = 611.73

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