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Finding the Fourth Proportional to 611.72, 912.82 and 597.08

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Solution

The fourth proportional to 611.72, 912.82 and 597.08 is: 890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.72 : 912.82 = 597.08 : x
  2. Step 2: Convert to fraction form
    611.72/912.82 = 597.08/x
  3. Step 3: Cross multiply
    611.72x = 912.82 × 597.08
  4. Step 4: Simplify right side
    611.72x = 545,026.57
  5. Step 5: Solve for x
    x = 545,026.57/611.72
  6. Step 6: Final answer
    x = 890.97

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