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Finding the Fourth Proportional to 1,753.75, 2,630.63 and 455.23

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Solution

The fourth proportional to 1,753.75, 2,630.63 and 455.23 is: 682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.75 : 2,630.63 = 455.23 : x
  2. Step 2: Convert to fraction form
    1,753.75/2,630.63 = 455.23/x
  3. Step 3: Cross multiply
    1,753.75x = 2,630.63 × 455.23
  4. Step 4: Simplify right side
    1,753.75x = 1,197,541.69
  5. Step 5: Solve for x
    x = 1,197,541.69/1,753.75
  6. Step 6: Final answer
    x = 682.85

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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.