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Finding the Fourth Proportional to 1,530.74, 2,112.43 and 832.12

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Solution

The fourth proportional to 1,530.74, 2,112.43 and 832.12 is: 1,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.74 : 2,112.43 = 832.12 : x
  2. Step 2: Convert to fraction form
    1,530.74/2,112.43 = 832.12/x
  3. Step 3: Cross multiply
    1,530.74x = 2,112.43 × 832.12
  4. Step 4: Simplify right side
    1,530.74x = 1,757,795.25
  5. Step 5: Solve for x
    x = 1,757,795.25/1,530.74
  6. Step 6: Final answer
    x = 1,148.33

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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.