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Finding the Fourth Proportional to 895.56, 1,234.73 and 580.27

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Solution

The fourth proportional to 895.56, 1,234.73 and 580.27 is: 800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.56 : 1,234.73 = 580.27 : x
  2. Step 2: Convert to fraction form
    895.56/1,234.73 = 580.27/x
  3. Step 3: Cross multiply
    895.56x = 1,234.73 × 580.27
  4. Step 4: Simplify right side
    895.56x = 716,473.88
  5. Step 5: Solve for x
    x = 716,473.88/895.56
  6. Step 6: Final answer
    x = 800.03

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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.