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Finding the Fourth Proportional to 1,418.36, 2,127.67 and 431.17

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Solution

The fourth proportional to 1,418.36, 2,127.67 and 431.17 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.36 : 2,127.67 = 431.17 : x
  2. Step 2: Convert to fraction form
    1,418.36/2,127.67 = 431.17/x
  3. Step 3: Cross multiply
    1,418.36x = 2,127.67 × 431.17
  4. Step 4: Simplify right side
    1,418.36x = 917,393.04
  5. Step 5: Solve for x
    x = 917,393.04/1,418.36
  6. Step 6: Final answer
    x = 646.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.