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Finding the Fourth Proportional to 804.01, 1,106.73 and 700.33

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Solution

The fourth proportional to 804.01, 1,106.73 and 700.33 is: 964.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.01 : 1,106.73 = 700.33 : x
  2. Step 2: Convert to fraction form
    804.01/1,106.73 = 700.33/x
  3. Step 3: Cross multiply
    804.01x = 1,106.73 × 700.33
  4. Step 4: Simplify right side
    804.01x = 775,072.72
  5. Step 5: Solve for x
    x = 775,072.72/804.01
  6. Step 6: Final answer
    x = 964.01

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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.