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Finding the Fourth Proportional to 1,550.68, 2,326.02 and 455.05

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Solution

The fourth proportional to 1,550.68, 2,326.02 and 455.05 is: 682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.68 : 2,326.02 = 455.05 : x
  2. Step 2: Convert to fraction form
    1,550.68/2,326.02 = 455.05/x
  3. Step 3: Cross multiply
    1,550.68x = 2,326.02 × 455.05
  4. Step 4: Simplify right side
    1,550.68x = 1,058,455.40
  5. Step 5: Solve for x
    x = 1,058,455.40/1,550.68
  6. Step 6: Final answer
    x = 682.58

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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.