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Finding the Fourth Proportional to 1,709.44, 2,564.64 and 613.80

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Solution

The fourth proportional to 1,709.44, 2,564.64 and 613.80 is: 920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.44 : 2,564.64 = 613.80 : x
  2. Step 2: Convert to fraction form
    1,709.44/2,564.64 = 613.80/x
  3. Step 3: Cross multiply
    1,709.44x = 2,564.64 × 613.80
  4. Step 4: Simplify right side
    1,709.44x = 1,574,176.03
  5. Step 5: Solve for x
    x = 1,574,176.03/1,709.44
  6. Step 6: Final answer
    x = 920.87

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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.