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Finding the Fourth Proportional to 1,705.58, 2,558.36 and 732.36

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Solution

The fourth proportional to 1,705.58, 2,558.36 and 732.36 is: 1,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.58 : 2,558.36 = 732.36 : x
  2. Step 2: Convert to fraction form
    1,705.58/2,558.36 = 732.36/x
  3. Step 3: Cross multiply
    1,705.58x = 2,558.36 × 732.36
  4. Step 4: Simplify right side
    1,705.58x = 1,873,651.95
  5. Step 5: Solve for x
    x = 1,873,651.95/1,705.58
  6. Step 6: Final answer
    x = 1,098.54

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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.