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Finding the Fourth Proportional to 1,495.49, 2,063.75 and 832.39

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Solution

The fourth proportional to 1,495.49, 2,063.75 and 832.39 is: 1,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.49 : 2,063.75 = 832.39 : x
  2. Step 2: Convert to fraction form
    1,495.49/2,063.75 = 832.39/x
  3. Step 3: Cross multiply
    1,495.49x = 2,063.75 × 832.39
  4. Step 4: Simplify right side
    1,495.49x = 1,717,835.54
  5. Step 5: Solve for x
    x = 1,717,835.54/1,495.49
  6. Step 6: Final answer
    x = 1,148.68

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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.