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Finding the Fourth Proportional to 825.70, 1,237.20 and 709.60

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Solution

The fourth proportional to 825.70, 1,237.20 and 709.60 is: 1,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.70 : 1,237.20 = 709.60 : x
  2. Step 2: Convert to fraction form
    825.70/1,237.20 = 709.60/x
  3. Step 3: Cross multiply
    825.70x = 1,237.20 × 709.60
  4. Step 4: Simplify right side
    825.70x = 877,917.12
  5. Step 5: Solve for x
    x = 877,917.12/825.70
  6. Step 6: Final answer
    x = 1,063.24

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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.