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Finding the Fourth Proportional to 596.10, 889.11 and 561.80

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Solution

The fourth proportional to 596.10, 889.11 and 561.80 is: 837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.10 : 889.11 = 561.80 : x
  2. Step 2: Convert to fraction form
    596.10/889.11 = 561.80/x
  3. Step 3: Cross multiply
    596.10x = 889.11 × 561.80
  4. Step 4: Simplify right side
    596.10x = 499,502.00
  5. Step 5: Solve for x
    x = 499,502.00/596.10
  6. Step 6: Final answer
    x = 837.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.