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Finding the Fourth Proportional to 1,552.14, 2,328.42 and 456.48

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Solution

The fourth proportional to 1,552.14, 2,328.42 and 456.48 is: 684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.14 : 2,328.42 = 456.48 : x
  2. Step 2: Convert to fraction form
    1,552.14/2,328.42 = 456.48/x
  3. Step 3: Cross multiply
    1,552.14x = 2,328.42 × 456.48
  4. Step 4: Simplify right side
    1,552.14x = 1,062,877.16
  5. Step 5: Solve for x
    x = 1,062,877.16/1,552.14
  6. Step 6: Final answer
    x = 684.78

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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.