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Finding the Fourth Proportional to 1,233.02, 1,701.78 and 735.68

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Solution

The fourth proportional to 1,233.02, 1,701.78 and 735.68 is: 1,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.02 : 1,701.78 = 735.68 : x
  2. Step 2: Convert to fraction form
    1,233.02/1,701.78 = 735.68/x
  3. Step 3: Cross multiply
    1,233.02x = 1,701.78 × 735.68
  4. Step 4: Simplify right side
    1,233.02x = 1,251,965.51
  5. Step 5: Solve for x
    x = 1,251,965.51/1,233.02
  6. Step 6: Final answer
    x = 1,015.37

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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.