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Finding the Fourth Proportional to 1,754.84, 2,632.25 and 456.31

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Solution

The fourth proportional to 1,754.84, 2,632.25 and 456.31 is: 684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.84 : 2,632.25 = 456.31 : x
  2. Step 2: Convert to fraction form
    1,754.84/2,632.25 = 456.31/x
  3. Step 3: Cross multiply
    1,754.84x = 2,632.25 × 456.31
  4. Step 4: Simplify right side
    1,754.84x = 1,201,122.00
  5. Step 5: Solve for x
    x = 1,201,122.00/1,754.84
  6. Step 6: Final answer
    x = 684.46

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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.