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Finding the Fourth Proportional to 1,740.42, 2,609.82 and 699.98

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Solution

The fourth proportional to 1,740.42, 2,609.82 and 699.98 is: 1,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.42 : 2,609.82 = 699.98 : x
  2. Step 2: Convert to fraction form
    1,740.42/2,609.82 = 699.98/x
  3. Step 3: Cross multiply
    1,740.42x = 2,609.82 × 699.98
  4. Step 4: Simplify right side
    1,740.42x = 1,826,808.75
  5. Step 5: Solve for x
    x = 1,826,808.75/1,740.42
  6. Step 6: Final answer
    x = 1,049.64

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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.