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Finding the Fourth Proportional to 711.61, 981.65 and 490.18

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Solution

The fourth proportional to 711.61, 981.65 and 490.18 is: 676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.61 : 981.65 = 490.18 : x
  2. Step 2: Convert to fraction form
    711.61/981.65 = 490.18/x
  3. Step 3: Cross multiply
    711.61x = 981.65 × 490.18
  4. Step 4: Simplify right side
    711.61x = 481,181.52
  5. Step 5: Solve for x
    x = 481,181.52/711.61
  6. Step 6: Final answer
    x = 676.18

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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.