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Finding the Fourth Proportional to 1,706.74, 2,558.59 and 667.44

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Solution

The fourth proportional to 1,706.74, 2,558.59 and 667.44 is: 1,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.74 : 2,558.59 = 667.44 : x
  2. Step 2: Convert to fraction form
    1,706.74/2,558.59 = 667.44/x
  3. Step 3: Cross multiply
    1,706.74x = 2,558.59 × 667.44
  4. Step 4: Simplify right side
    1,706.74x = 1,707,703.64
  5. Step 5: Solve for x
    x = 1,707,703.64/1,706.74
  6. Step 6: Final answer
    x = 1,000.57

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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.