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Finding the Fourth Proportional to 1,709.78, 2,564.67 and 844.70

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Solution

The fourth proportional to 1,709.78, 2,564.67 and 844.70 is: 1,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.78 : 2,564.67 = 844.70 : x
  2. Step 2: Convert to fraction form
    1,709.78/2,564.67 = 844.70/x
  3. Step 3: Cross multiply
    1,709.78x = 2,564.67 × 844.70
  4. Step 4: Simplify right side
    1,709.78x = 2,166,376.75
  5. Step 5: Solve for x
    x = 2,166,376.75/1,709.78
  6. Step 6: Final answer
    x = 1,267.05

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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.