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Finding the Fourth Proportional to 1,704.07, 2,555.97 and 534.03

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Solution

The fourth proportional to 1,704.07, 2,555.97 and 534.03 is: 801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.07 : 2,555.97 = 534.03 : x
  2. Step 2: Convert to fraction form
    1,704.07/2,555.97 = 534.03/x
  3. Step 3: Cross multiply
    1,704.07x = 2,555.97 × 534.03
  4. Step 4: Simplify right side
    1,704.07x = 1,364,964.66
  5. Step 5: Solve for x
    x = 1,364,964.66/1,704.07
  6. Step 6: Final answer
    x = 801.00

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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.