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Finding the Fourth Proportional to 611.51, 917.07 and 596.72

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Solution

The fourth proportional to 611.51, 917.07 and 596.72 is: 894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.51 : 917.07 = 596.72 : x
  2. Step 2: Convert to fraction form
    611.51/917.07 = 596.72/x
  3. Step 3: Cross multiply
    611.51x = 917.07 × 596.72
  4. Step 4: Simplify right side
    611.51x = 547,229.43
  5. Step 5: Solve for x
    x = 547,229.43/611.51
  6. Step 6: Final answer
    x = 894.89

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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.