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Finding the Fourth Proportional to 1,705.91, 2,558.91 and 665.87

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Solution

The fourth proportional to 1,705.91, 2,558.91 and 665.87 is: 998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.91 : 2,558.91 = 665.87 : x
  2. Step 2: Convert to fraction form
    1,705.91/2,558.91 = 665.87/x
  3. Step 3: Cross multiply
    1,705.91x = 2,558.91 × 665.87
  4. Step 4: Simplify right side
    1,705.91x = 1,703,888.61
  5. Step 5: Solve for x
    x = 1,703,888.61/1,705.91
  6. Step 6: Final answer
    x = 998.82

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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.