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Finding the Fourth Proportional to 1,703.34, 2,555.00 and 664.07

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Solution

The fourth proportional to 1,703.34, 2,555.00 and 664.07 is: 996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.34 : 2,555.00 = 664.07 : x
  2. Step 2: Convert to fraction form
    1,703.34/2,555.00 = 664.07/x
  3. Step 3: Cross multiply
    1,703.34x = 2,555.00 × 664.07
  4. Step 4: Simplify right side
    1,703.34x = 1,696,682.75
  5. Step 5: Solve for x
    x = 1,696,682.75/1,703.34
  6. Step 6: Final answer
    x = 996.09

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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.