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Finding the Fourth Proportional to 837.72, 1,156.02 and 488.42

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Solution

The fourth proportional to 837.72, 1,156.02 and 488.42 is: 674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.72 : 1,156.02 = 488.42 : x
  2. Step 2: Convert to fraction form
    837.72/1,156.02 = 488.42/x
  3. Step 3: Cross multiply
    837.72x = 1,156.02 × 488.42
  4. Step 4: Simplify right side
    837.72x = 564,623.29
  5. Step 5: Solve for x
    x = 564,623.29/837.72
  6. Step 6: Final answer
    x = 674.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.