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Finding the Fourth Proportional to 804.06, 1,109.87 and 472.58

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Solution

The fourth proportional to 804.06, 1,109.87 and 472.58 is: 652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.06 : 1,109.87 = 472.58 : x
  2. Step 2: Convert to fraction form
    804.06/1,109.87 = 472.58/x
  3. Step 3: Cross multiply
    804.06x = 1,109.87 × 472.58
  4. Step 4: Simplify right side
    804.06x = 524,500.39
  5. Step 5: Solve for x
    x = 524,500.39/804.06
  6. Step 6: Final answer
    x = 652.31

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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.