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Finding the Fourth Proportional to 1,704.78, 2,557.47 and 665.35

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Solution

The fourth proportional to 1,704.78, 2,557.47 and 665.35 is: 998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.78 : 2,557.47 = 665.35 : x
  2. Step 2: Convert to fraction form
    1,704.78/2,557.47 = 665.35/x
  3. Step 3: Cross multiply
    1,704.78x = 2,557.47 × 665.35
  4. Step 4: Simplify right side
    1,704.78x = 1,701,612.66
  5. Step 5: Solve for x
    x = 1,701,612.66/1,704.78
  6. Step 6: Final answer
    x = 998.14

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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.