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Finding the Fourth Proportional to 895.22, 1,235.45 and 496.92

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Solution

The fourth proportional to 895.22, 1,235.45 and 496.92 is: 685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.22 : 1,235.45 = 496.92 : x
  2. Step 2: Convert to fraction form
    895.22/1,235.45 = 496.92/x
  3. Step 3: Cross multiply
    895.22x = 1,235.45 × 496.92
  4. Step 4: Simplify right side
    895.22x = 613,919.81
  5. Step 5: Solve for x
    x = 613,919.81/895.22
  6. Step 6: Final answer
    x = 685.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.