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Finding the Fourth Proportional to 611.10, 912.06 and 596.52

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Solution

The fourth proportional to 611.10, 912.06 and 596.52 is: 890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.10 : 912.06 = 596.52 : x
  2. Step 2: Convert to fraction form
    611.10/912.06 = 596.52/x
  3. Step 3: Cross multiply
    611.10x = 912.06 × 596.52
  4. Step 4: Simplify right side
    611.10x = 544,062.03
  5. Step 5: Solve for x
    x = 544,062.03/611.10
  6. Step 6: Final answer
    x = 890.30

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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.