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Finding the Fourth Proportional to 1,282.51, 1,922.26 and 735.07

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Solution

The fourth proportional to 1,282.51, 1,922.26 and 735.07 is: 1,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.51 : 1,922.26 = 735.07 : x
  2. Step 2: Convert to fraction form
    1,282.51/1,922.26 = 735.07/x
  3. Step 3: Cross multiply
    1,282.51x = 1,922.26 × 735.07
  4. Step 4: Simplify right side
    1,282.51x = 1,412,995.66
  5. Step 5: Solve for x
    x = 1,412,995.66/1,282.51
  6. Step 6: Final answer
    x = 1,101.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.