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Finding the Fourth Proportional to 895.14, 1,233.84 and 599.88

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Solution

The fourth proportional to 895.14, 1,233.84 and 599.88 is: 826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.14 : 1,233.84 = 599.88 : x
  2. Step 2: Convert to fraction form
    895.14/1,233.84 = 599.88/x
  3. Step 3: Cross multiply
    895.14x = 1,233.84 × 599.88
  4. Step 4: Simplify right side
    895.14x = 740,155.94
  5. Step 5: Solve for x
    x = 740,155.94/895.14
  6. Step 6: Final answer
    x = 826.86

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Why These Related Problems?

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