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Finding the Fourth Proportional to 825.56, 1,238.38 and 460.07

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Solution

The fourth proportional to 825.56, 1,238.38 and 460.07 is: 690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.56 : 1,238.38 = 460.07 : x
  2. Step 2: Convert to fraction form
    825.56/1,238.38 = 460.07/x
  3. Step 3: Cross multiply
    825.56x = 1,238.38 × 460.07
  4. Step 4: Simplify right side
    825.56x = 569,741.49
  5. Step 5: Solve for x
    x = 569,741.49/825.56
  6. Step 6: Final answer
    x = 690.13

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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.