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Finding the Fourth Proportional to 1,552.43, 2,328.54 and 456.71

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Solution

The fourth proportional to 1,552.43, 2,328.54 and 456.71 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.43 : 2,328.54 = 456.71 : x
  2. Step 2: Convert to fraction form
    1,552.43/2,328.54 = 456.71/x
  3. Step 3: Cross multiply
    1,552.43x = 2,328.54 × 456.71
  4. Step 4: Simplify right side
    1,552.43x = 1,063,454.15
  5. Step 5: Solve for x
    x = 1,063,454.15/1,552.43
  6. Step 6: Final answer
    x = 685.02

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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.