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Finding the Fourth Proportional to 1,148.77, 1,729.91 and 826.39

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Solution

The fourth proportional to 1,148.77, 1,729.91 and 826.39 is: 1,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.77 : 1,729.91 = 826.39 : x
  2. Step 2: Convert to fraction form
    1,148.77/1,729.91 = 826.39/x
  3. Step 3: Cross multiply
    1,148.77x = 1,729.91 × 826.39
  4. Step 4: Simplify right side
    1,148.77x = 1,429,580.32
  5. Step 5: Solve for x
    x = 1,429,580.32/1,148.77
  6. Step 6: Final answer
    x = 1,244.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.