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Finding the Fourth Proportional to 1,613.31, 2,418.75 and 832.47

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Solution

The fourth proportional to 1,613.31, 2,418.75 and 832.47 is: 1,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.31 : 2,418.75 = 832.47 : x
  2. Step 2: Convert to fraction form
    1,613.31/2,418.75 = 832.47/x
  3. Step 3: Cross multiply
    1,613.31x = 2,418.75 × 832.47
  4. Step 4: Simplify right side
    1,613.31x = 2,013,536.81
  5. Step 5: Solve for x
    x = 2,013,536.81/1,613.31
  6. Step 6: Final answer
    x = 1,248.08

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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.