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Finding the Fourth Proportional to 1,029.92, 1,421.54 and 637.36

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Solution

The fourth proportional to 1,029.92, 1,421.54 and 637.36 is: 879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.92 : 1,421.54 = 637.36 : x
  2. Step 2: Convert to fraction form
    1,029.92/1,421.54 = 637.36/x
  3. Step 3: Cross multiply
    1,029.92x = 1,421.54 × 637.36
  4. Step 4: Simplify right side
    1,029.92x = 906,032.73
  5. Step 5: Solve for x
    x = 906,032.73/1,029.92
  6. Step 6: Final answer
    x = 879.71

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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.