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Finding the Fourth Proportional to 1,052.00, 1,451.93 and 680.07

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Solution

The fourth proportional to 1,052.00, 1,451.93 and 680.07 is: 938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.00 : 1,451.93 = 680.07 : x
  2. Step 2: Convert to fraction form
    1,052.00/1,451.93 = 680.07/x
  3. Step 3: Cross multiply
    1,052.00x = 1,451.93 × 680.07
  4. Step 4: Simplify right side
    1,052.00x = 987,410.63
  5. Step 5: Solve for x
    x = 987,410.63/1,052.00
  6. Step 6: Final answer
    x = 938.61

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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.