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Finding the Fourth Proportional to 1,703.55, 2,554.65 and 663.41

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Solution

The fourth proportional to 1,703.55, 2,554.65 and 663.41 is: 994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.55 : 2,554.65 = 663.41 : x
  2. Step 2: Convert to fraction form
    1,703.55/2,554.65 = 663.41/x
  3. Step 3: Cross multiply
    1,703.55x = 2,554.65 × 663.41
  4. Step 4: Simplify right side
    1,703.55x = 1,694,780.36
  5. Step 5: Solve for x
    x = 1,694,780.36/1,703.55
  6. Step 6: Final answer
    x = 994.85

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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.