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Finding the Fourth Proportional to 825.06, 1,237.63 and 459.58

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Solution

The fourth proportional to 825.06, 1,237.63 and 459.58 is: 689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.06 : 1,237.63 = 459.58 : x
  2. Step 2: Convert to fraction form
    825.06/1,237.63 = 459.58/x
  3. Step 3: Cross multiply
    825.06x = 1,237.63 × 459.58
  4. Step 4: Simplify right side
    825.06x = 568,783.81
  5. Step 5: Solve for x
    x = 568,783.81/825.06
  6. Step 6: Final answer
    x = 689.38

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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.