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Finding the Fourth Proportional to 825.65, 1,238.51 and 460.16

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Solution

The fourth proportional to 825.65, 1,238.51 and 460.16 is: 690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.65 : 1,238.51 = 460.16 : x
  2. Step 2: Convert to fraction form
    825.65/1,238.51 = 460.16/x
  3. Step 3: Cross multiply
    825.65x = 1,238.51 × 460.16
  4. Step 4: Simplify right side
    825.65x = 569,912.76
  5. Step 5: Solve for x
    x = 569,912.76/825.65
  6. Step 6: Final answer
    x = 690.26

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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.