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Finding the Fourth Proportional to 896.16, 1,343.76 and 573.84

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Solution

The fourth proportional to 896.16, 1,343.76 and 573.84 is: 860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.16 : 1,343.76 = 573.84 : x
  2. Step 2: Convert to fraction form
    896.16/1,343.76 = 573.84/x
  3. Step 3: Cross multiply
    896.16x = 1,343.76 × 573.84
  4. Step 4: Simplify right side
    896.16x = 771,103.24
  5. Step 5: Solve for x
    x = 771,103.24/896.16
  6. Step 6: Final answer
    x = 860.45

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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.