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Finding the Fourth Proportional to 838.27, 1,256.19 and 751.60

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Solution

The fourth proportional to 838.27, 1,256.19 and 751.60 is: 1,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.27 : 1,256.19 = 751.60 : x
  2. Step 2: Convert to fraction form
    838.27/1,256.19 = 751.60/x
  3. Step 3: Cross multiply
    838.27x = 1,256.19 × 751.60
  4. Step 4: Simplify right side
    838.27x = 944,152.40
  5. Step 5: Solve for x
    x = 944,152.40/838.27
  6. Step 6: Final answer
    x = 1,126.31

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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.