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Finding the Fourth Proportional to 898.06, 1,239.02 and 566.57

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Solution

The fourth proportional to 898.06, 1,239.02 and 566.57 is: 781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.06 : 1,239.02 = 566.57 : x
  2. Step 2: Convert to fraction form
    898.06/1,239.02 = 566.57/x
  3. Step 3: Cross multiply
    898.06x = 1,239.02 × 566.57
  4. Step 4: Simplify right side
    898.06x = 701,991.56
  5. Step 5: Solve for x
    x = 701,991.56/898.06
  6. Step 6: Final answer
    x = 781.68

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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.