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Finding the Fourth Proportional to 895.62, 1,341 and 735.24

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Solution

The fourth proportional to 895.62, 1,341 and 735.24 is: 1,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.62 : 1,341 = 735.24 : x
  2. Step 2: Convert to fraction form
    895.62/1,341 = 735.24/x
  3. Step 3: Cross multiply
    895.62x = 1,341 × 735.24
  4. Step 4: Simplify right side
    895.62x = 985,956.84
  5. Step 5: Solve for x
    x = 985,956.84/895.62
  6. Step 6: Final answer
    x = 1,100.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.