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Finding the Fourth Proportional to 1,709.07, 2,563.64 and 613.41

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Solution

The fourth proportional to 1,709.07, 2,563.64 and 613.41 is: 920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.07 : 2,563.64 = 613.41 : x
  2. Step 2: Convert to fraction form
    1,709.07/2,563.64 = 613.41/x
  3. Step 3: Cross multiply
    1,709.07x = 2,563.64 × 613.41
  4. Step 4: Simplify right side
    1,709.07x = 1,572,562.41
  5. Step 5: Solve for x
    x = 1,572,562.41/1,709.07
  6. Step 6: Final answer
    x = 920.13

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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.