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Finding the Fourth Proportional to 1,214.61, 1,675.74 and 717.09

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Solution

The fourth proportional to 1,214.61, 1,675.74 and 717.09 is: 989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.61 : 1,675.74 = 717.09 : x
  2. Step 2: Convert to fraction form
    1,214.61/1,675.74 = 717.09/x
  3. Step 3: Cross multiply
    1,214.61x = 1,675.74 × 717.09
  4. Step 4: Simplify right side
    1,214.61x = 1,201,656.40
  5. Step 5: Solve for x
    x = 1,201,656.40/1,214.61
  6. Step 6: Final answer
    x = 989.34

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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.