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Finding the Fourth Proportional to 838.50, 1,157.25 and 801.60

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Solution

The fourth proportional to 838.50, 1,157.25 and 801.60 is: 1,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,157.25 = 801.60 : x
  2. Step 2: Convert to fraction form
    838.50/1,157.25 = 801.60/x
  3. Step 3: Cross multiply
    838.50x = 1,157.25 × 801.60
  4. Step 4: Simplify right side
    838.50x = 927,651.60
  5. Step 5: Solve for x
    x = 927,651.60/838.50
  6. Step 6: Final answer
    x = 1,106.32

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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.