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Finding the Fourth Proportional to 1,501.93, 2,072.52 and 838.66

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Solution

The fourth proportional to 1,501.93, 2,072.52 and 838.66 is: 1,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.93 : 2,072.52 = 838.66 : x
  2. Step 2: Convert to fraction form
    1,501.93/2,072.52 = 838.66/x
  3. Step 3: Cross multiply
    1,501.93x = 2,072.52 × 838.66
  4. Step 4: Simplify right side
    1,501.93x = 1,738,139.62
  5. Step 5: Solve for x
    x = 1,738,139.62/1,501.93
  6. Step 6: Final answer
    x = 1,157.27

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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.