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Finding the Fourth Proportional to 874.58, 1,311.94 and 666.69

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Solution

The fourth proportional to 874.58, 1,311.94 and 666.69 is: 1,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.58 : 1,311.94 = 666.69 : x
  2. Step 2: Convert to fraction form
    874.58/1,311.94 = 666.69/x
  3. Step 3: Cross multiply
    874.58x = 1,311.94 × 666.69
  4. Step 4: Simplify right side
    874.58x = 874,657.28
  5. Step 5: Solve for x
    x = 874,657.28/874.58
  6. Step 6: Final answer
    x = 1,000.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.