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Finding the Fourth Proportional to 1,704.90, 2,557.74 and 780.72

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Solution

The fourth proportional to 1,704.90, 2,557.74 and 780.72 is: 1,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.90 : 2,557.74 = 780.72 : x
  2. Step 2: Convert to fraction form
    1,704.90/2,557.74 = 780.72/x
  3. Step 3: Cross multiply
    1,704.90x = 2,557.74 × 780.72
  4. Step 4: Simplify right side
    1,704.90x = 1,996,878.77
  5. Step 5: Solve for x
    x = 1,996,878.77/1,704.90
  6. Step 6: Final answer
    x = 1,171.26

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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.