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Finding the Fourth Proportional to 711.08, 981.67 and 499.04

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Solution

The fourth proportional to 711.08, 981.67 and 499.04 is: 688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.08 : 981.67 = 499.04 : x
  2. Step 2: Convert to fraction form
    711.08/981.67 = 499.04/x
  3. Step 3: Cross multiply
    711.08x = 981.67 × 499.04
  4. Step 4: Simplify right side
    711.08x = 489,896.58
  5. Step 5: Solve for x
    x = 489,896.58/711.08
  6. Step 6: Final answer
    x = 688.95

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Why These Related Problems?

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