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Finding the Fourth Proportional to 895.97, 1,236.98 and 586.01

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Solution

The fourth proportional to 895.97, 1,236.98 and 586.01 is: 809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.97 : 1,236.98 = 586.01 : x
  2. Step 2: Convert to fraction form
    895.97/1,236.98 = 586.01/x
  3. Step 3: Cross multiply
    895.97x = 1,236.98 × 586.01
  4. Step 4: Simplify right side
    895.97x = 724,882.65
  5. Step 5: Solve for x
    x = 724,882.65/895.97
  6. Step 6: Final answer
    x = 809.05

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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.