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Finding the Fourth Proportional to 1,799.58, 2,697.77 and 703.69

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Solution

The fourth proportional to 1,799.58, 2,697.77 and 703.69 is: 1,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.58 : 2,697.77 = 703.69 : x
  2. Step 2: Convert to fraction form
    1,799.58/2,697.77 = 703.69/x
  3. Step 3: Cross multiply
    1,799.58x = 2,697.77 × 703.69
  4. Step 4: Simplify right side
    1,799.58x = 1,898,393.77
  5. Step 5: Solve for x
    x = 1,898,393.77/1,799.58
  6. Step 6: Final answer
    x = 1,054.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.