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Finding the Fourth Proportional to 1,552.25, 2,327.91 and 456.59

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Solution

The fourth proportional to 1,552.25, 2,327.91 and 456.59 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.25 : 2,327.91 = 456.59 : x
  2. Step 2: Convert to fraction form
    1,552.25/2,327.91 = 456.59/x
  3. Step 3: Cross multiply
    1,552.25x = 2,327.91 × 456.59
  4. Step 4: Simplify right side
    1,552.25x = 1,062,888.79
  5. Step 5: Solve for x
    x = 1,062,888.79/1,552.25
  6. Step 6: Final answer
    x = 684.74

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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.