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Finding the Fourth Proportional to 1,385.99, 1,914.33 and 1,012.37

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Solution

The fourth proportional to 1,385.99, 1,914.33 and 1,012.37 is: 1,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.99 : 1,914.33 = 1,012.37 : x
  2. Step 2: Convert to fraction form
    1,385.99/1,914.33 = 1,012.37/x
  3. Step 3: Cross multiply
    1,385.99x = 1,914.33 × 1,012.37
  4. Step 4: Simplify right side
    1,385.99x = 1,938,010.26
  5. Step 5: Solve for x
    x = 1,938,010.26/1,385.99
  6. Step 6: Final answer
    x = 1,398.29

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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.