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Finding the Fourth Proportional to 1,214.25, 1,675.40 and 716.91

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Solution

The fourth proportional to 1,214.25, 1,675.40 and 716.91 is: 989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.25 : 1,675.40 = 716.91 : x
  2. Step 2: Convert to fraction form
    1,214.25/1,675.40 = 716.91/x
  3. Step 3: Cross multiply
    1,214.25x = 1,675.40 × 716.91
  4. Step 4: Simplify right side
    1,214.25x = 1,201,107.43
  5. Step 5: Solve for x
    x = 1,201,107.43/1,214.25
  6. Step 6: Final answer
    x = 989.18

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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.