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Finding the Fourth Proportional to 1,263.64, 1,743.82 and 704.08

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Solution

The fourth proportional to 1,263.64, 1,743.82 and 704.08 is: 971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.64 : 1,743.82 = 704.08 : x
  2. Step 2: Convert to fraction form
    1,263.64/1,743.82 = 704.08/x
  3. Step 3: Cross multiply
    1,263.64x = 1,743.82 × 704.08
  4. Step 4: Simplify right side
    1,263.64x = 1,227,788.79
  5. Step 5: Solve for x
    x = 1,227,788.79/1,263.64
  6. Step 6: Final answer
    x = 971.63

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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.