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Finding the Fourth Proportional to 701.42, 967.61 and 504.59

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Solution

The fourth proportional to 701.42, 967.61 and 504.59 is: 696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.42 : 967.61 = 504.59 : x
  2. Step 2: Convert to fraction form
    701.42/967.61 = 504.59/x
  3. Step 3: Cross multiply
    701.42x = 967.61 × 504.59
  4. Step 4: Simplify right side
    701.42x = 488,242.75
  5. Step 5: Solve for x
    x = 488,242.75/701.42
  6. Step 6: Final answer
    x = 696.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.