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Finding the Fourth Proportional to 1,214.29, 1,675.73 and 690.41

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Solution

The fourth proportional to 1,214.29, 1,675.73 and 690.41 is: 952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.29 : 1,675.73 = 690.41 : x
  2. Step 2: Convert to fraction form
    1,214.29/1,675.73 = 690.41/x
  3. Step 3: Cross multiply
    1,214.29x = 1,675.73 × 690.41
  4. Step 4: Simplify right side
    1,214.29x = 1,156,940.75
  5. Step 5: Solve for x
    x = 1,156,940.75/1,214.29
  6. Step 6: Final answer
    x = 952.77

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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.