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Finding the Fourth Proportional to 1,778.96, 2,668.47 and 624.74

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Solution

The fourth proportional to 1,778.96, 2,668.47 and 624.74 is: 937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.96 : 2,668.47 = 624.74 : x
  2. Step 2: Convert to fraction form
    1,778.96/2,668.47 = 624.74/x
  3. Step 3: Cross multiply
    1,778.96x = 2,668.47 × 624.74
  4. Step 4: Simplify right side
    1,778.96x = 1,667,099.95
  5. Step 5: Solve for x
    x = 1,667,099.95/1,778.96
  6. Step 6: Final answer
    x = 937.12

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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.