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Finding the Fourth Proportional to 1,282.58, 1,924.47 and 735.22

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Solution

The fourth proportional to 1,282.58, 1,924.47 and 735.22 is: 1,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.58 : 1,924.47 = 735.22 : x
  2. Step 2: Convert to fraction form
    1,282.58/1,924.47 = 735.22/x
  3. Step 3: Cross multiply
    1,282.58x = 1,924.47 × 735.22
  4. Step 4: Simplify right side
    1,282.58x = 1,414,904.02
  5. Step 5: Solve for x
    x = 1,414,904.02/1,282.58
  6. Step 6: Final answer
    x = 1,103.17

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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.