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Finding the Fourth Proportional to 1,530.80, 2,112.53 and 832.17

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Solution

The fourth proportional to 1,530.80, 2,112.53 and 832.17 is: 1,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.80 : 2,112.53 = 832.17 : x
  2. Step 2: Convert to fraction form
    1,530.80/2,112.53 = 832.17/x
  3. Step 3: Cross multiply
    1,530.80x = 2,112.53 × 832.17
  4. Step 4: Simplify right side
    1,530.80x = 1,757,979.93
  5. Step 5: Solve for x
    x = 1,757,979.93/1,530.80
  6. Step 6: Final answer
    x = 1,148.41

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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.