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Finding the Fourth Proportional to 1,797.58, 2,695.30 and 700.66

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Solution

The fourth proportional to 1,797.58, 2,695.30 and 700.66 is: 1,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.58 : 2,695.30 = 700.66 : x
  2. Step 2: Convert to fraction form
    1,797.58/2,695.30 = 700.66/x
  3. Step 3: Cross multiply
    1,797.58x = 2,695.30 × 700.66
  4. Step 4: Simplify right side
    1,797.58x = 1,888,499.23
  5. Step 5: Solve for x
    x = 1,888,499.23/1,797.58
  6. Step 6: Final answer
    x = 1,050.58

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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.