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Finding the Fourth Proportional to 653.36, 896.78 and 581.84

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Solution

The fourth proportional to 653.36, 896.78 and 581.84 is: 798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 896.78 = 581.84 : x
  2. Step 2: Convert to fraction form
    653.36/896.78 = 581.84/x
  3. Step 3: Cross multiply
    653.36x = 896.78 × 581.84
  4. Step 4: Simplify right side
    653.36x = 521,782.48
  5. Step 5: Solve for x
    x = 521,782.48/653.36
  6. Step 6: Final answer
    x = 798.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.