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Finding the Fourth Proportional to 1,552.10, 2,328.64 and 456.49

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Solution

The fourth proportional to 1,552.10, 2,328.64 and 456.49 is: 684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.10 : 2,328.64 = 456.49 : x
  2. Step 2: Convert to fraction form
    1,552.10/2,328.64 = 456.49/x
  3. Step 3: Cross multiply
    1,552.10x = 2,328.64 × 456.49
  4. Step 4: Simplify right side
    1,552.10x = 1,063,000.87
  5. Step 5: Solve for x
    x = 1,063,000.87/1,552.10
  6. Step 6: Final answer
    x = 684.88

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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.