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Finding the Fourth Proportional to 804.90, 1,111.81 and 665.58

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Solution

The fourth proportional to 804.90, 1,111.81 and 665.58 is: 919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.90 : 1,111.81 = 665.58 : x
  2. Step 2: Convert to fraction form
    804.90/1,111.81 = 665.58/x
  3. Step 3: Cross multiply
    804.90x = 1,111.81 × 665.58
  4. Step 4: Simplify right side
    804.90x = 740,002.25
  5. Step 5: Solve for x
    x = 740,002.25/804.90
  6. Step 6: Final answer
    x = 919.37

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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.