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Finding the Fourth Proportional to 1,712.29, 2,363 and 966.27

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Solution

The fourth proportional to 1,712.29, 2,363 and 966.27 is: 1,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.29 : 2,363 = 966.27 : x
  2. Step 2: Convert to fraction form
    1,712.29/2,363 = 966.27/x
  3. Step 3: Cross multiply
    1,712.29x = 2,363 × 966.27
  4. Step 4: Simplify right side
    1,712.29x = 2,283,296.01
  5. Step 5: Solve for x
    x = 2,283,296.01/1,712.29
  6. Step 6: Final answer
    x = 1,333.48

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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.