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Finding the Fourth Proportional to 1,704.19, 2,555.58 and 533.80

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Solution

The fourth proportional to 1,704.19, 2,555.58 and 533.80 is: 800.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.19 : 2,555.58 = 533.80 : x
  2. Step 2: Convert to fraction form
    1,704.19/2,555.58 = 533.80/x
  3. Step 3: Cross multiply
    1,704.19x = 2,555.58 × 533.80
  4. Step 4: Simplify right side
    1,704.19x = 1,364,168.60
  5. Step 5: Solve for x
    x = 1,364,168.60/1,704.19
  6. Step 6: Final answer
    x = 800.48

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