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Finding the Fourth Proportional to 1,313.88, 1,813.17 and 848.94

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Solution

The fourth proportional to 1,313.88, 1,813.17 and 848.94 is: 1,171.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.88 : 1,813.17 = 848.94 : x
  2. Step 2: Convert to fraction form
    1,313.88/1,813.17 = 848.94/x
  3. Step 3: Cross multiply
    1,313.88x = 1,813.17 × 848.94
  4. Step 4: Simplify right side
    1,313.88x = 1,539,272.54
  5. Step 5: Solve for x
    x = 1,539,272.54/1,313.88
  6. Step 6: Final answer
    x = 1,171.55

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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.