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Finding the Fourth Proportional to 1,709.25, 2,563.88 and 978.32

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Solution

The fourth proportional to 1,709.25, 2,563.88 and 978.32 is: 1,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.25 : 2,563.88 = 978.32 : x
  2. Step 2: Convert to fraction form
    1,709.25/2,563.88 = 978.32/x
  3. Step 3: Cross multiply
    1,709.25x = 2,563.88 × 978.32
  4. Step 4: Simplify right side
    1,709.25x = 2,508,302.10
  5. Step 5: Solve for x
    x = 2,508,302.10/1,709.25
  6. Step 6: Final answer
    x = 1,467.49

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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.