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Finding the Fourth Proportional to 852.44, 1,175.01 and 603.36

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Solution

The fourth proportional to 852.44, 1,175.01 and 603.36 is: 831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.44 : 1,175.01 = 603.36 : x
  2. Step 2: Convert to fraction form
    852.44/1,175.01 = 603.36/x
  3. Step 3: Cross multiply
    852.44x = 1,175.01 × 603.36
  4. Step 4: Simplify right side
    852.44x = 708,954.03
  5. Step 5: Solve for x
    x = 708,954.03/852.44
  6. Step 6: Final answer
    x = 831.68

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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.