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Finding the Fourth Proportional to 1,782.56, 2,674.14 and 484.16

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Solution

The fourth proportional to 1,782.56, 2,674.14 and 484.16 is: 726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.56 : 2,674.14 = 484.16 : x
  2. Step 2: Convert to fraction form
    1,782.56/2,674.14 = 484.16/x
  3. Step 3: Cross multiply
    1,782.56x = 2,674.14 × 484.16
  4. Step 4: Simplify right side
    1,782.56x = 1,294,711.62
  5. Step 5: Solve for x
    x = 1,294,711.62/1,782.56
  6. Step 6: Final answer
    x = 726.32

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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.