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Finding the Fourth Proportional to 1,296.35, 1,788.93 and 799.01

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Solution

The fourth proportional to 1,296.35, 1,788.93 and 799.01 is: 1,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.35 : 1,788.93 = 799.01 : x
  2. Step 2: Convert to fraction form
    1,296.35/1,788.93 = 799.01/x
  3. Step 3: Cross multiply
    1,296.35x = 1,788.93 × 799.01
  4. Step 4: Simplify right side
    1,296.35x = 1,429,364.01
  5. Step 5: Solve for x
    x = 1,429,364.01/1,296.35
  6. Step 6: Final answer
    x = 1,102.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.