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Finding the Fourth Proportional to 835.53, 1,152.56 and 638.97

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Solution

The fourth proportional to 835.53, 1,152.56 and 638.97 is: 881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.53 : 1,152.56 = 638.97 : x
  2. Step 2: Convert to fraction form
    835.53/1,152.56 = 638.97/x
  3. Step 3: Cross multiply
    835.53x = 1,152.56 × 638.97
  4. Step 4: Simplify right side
    835.53x = 736,448.07
  5. Step 5: Solve for x
    x = 736,448.07/835.53
  6. Step 6: Final answer
    x = 881.41

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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.