Home / 1,026.33-1,416.47-938.85

Finding the Fourth Proportional to 1,026.33, 1,416.47 and 938.85

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Solution

The fourth proportional to 1,026.33, 1,416.47 and 938.85 is: 1,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.33 : 1,416.47 = 938.85 : x
  2. Step 2: Convert to fraction form
    1,026.33/1,416.47 = 938.85/x
  3. Step 3: Cross multiply
    1,026.33x = 1,416.47 × 938.85
  4. Step 4: Simplify right side
    1,026.33x = 1,329,848.17
  5. Step 5: Solve for x
    x = 1,329,848.17/1,026.33
  6. Step 6: Final answer
    x = 1,295.73

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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.