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Finding the Fourth Proportional to 1,161.07, 1,601.98 and 688.98

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Solution

The fourth proportional to 1,161.07, 1,601.98 and 688.98 is: 950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.07 : 1,601.98 = 688.98 : x
  2. Step 2: Convert to fraction form
    1,161.07/1,601.98 = 688.98/x
  3. Step 3: Cross multiply
    1,161.07x = 1,601.98 × 688.98
  4. Step 4: Simplify right side
    1,161.07x = 1,103,732.18
  5. Step 5: Solve for x
    x = 1,103,732.18/1,161.07
  6. Step 6: Final answer
    x = 950.62

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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.