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Finding the Fourth Proportional to 1,552.23, 2,328.33 and 456.56

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Solution

The fourth proportional to 1,552.23, 2,328.33 and 456.56 is: 684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.23 : 2,328.33 = 456.56 : x
  2. Step 2: Convert to fraction form
    1,552.23/2,328.33 = 456.56/x
  3. Step 3: Cross multiply
    1,552.23x = 2,328.33 × 456.56
  4. Step 4: Simplify right side
    1,552.23x = 1,063,022.34
  5. Step 5: Solve for x
    x = 1,063,022.34/1,552.23
  6. Step 6: Final answer
    x = 684.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.