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Finding the Fourth Proportional to 1,799.61, 2,698.34 and 704.49

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Solution

The fourth proportional to 1,799.61, 2,698.34 and 704.49 is: 1,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.61 : 2,698.34 = 704.49 : x
  2. Step 2: Convert to fraction form
    1,799.61/2,698.34 = 704.49/x
  3. Step 3: Cross multiply
    1,799.61x = 2,698.34 × 704.49
  4. Step 4: Simplify right side
    1,799.61x = 1,900,950.02
  5. Step 5: Solve for x
    x = 1,900,950.02/1,799.61
  6. Step 6: Final answer
    x = 1,056.31

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1.5x scale

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.