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Finding the Fourth Proportional to 895.75, 1,236.14 and 585.25

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Solution

The fourth proportional to 895.75, 1,236.14 and 585.25 is: 807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.75 : 1,236.14 = 585.25 : x
  2. Step 2: Convert to fraction form
    895.75/1,236.14 = 585.25/x
  3. Step 3: Cross multiply
    895.75x = 1,236.14 × 585.25
  4. Step 4: Simplify right side
    895.75x = 723,450.94
  5. Step 5: Solve for x
    x = 723,450.94/895.75
  6. Step 6: Final answer
    x = 807.65

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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.