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Finding the Fourth Proportional to 1,330.67, 1,832.14 and 1,131.07

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Solution

The fourth proportional to 1,330.67, 1,832.14 and 1,131.07 is: 1,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.67 : 1,832.14 = 1,131.07 : x
  2. Step 2: Convert to fraction form
    1,330.67/1,832.14 = 1,131.07/x
  3. Step 3: Cross multiply
    1,330.67x = 1,832.14 × 1,131.07
  4. Step 4: Simplify right side
    1,330.67x = 2,072,278.59
  5. Step 5: Solve for x
    x = 2,072,278.59/1,330.67
  6. Step 6: Final answer
    x = 1,557.32

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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.