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Finding the Fourth Proportional to 804.04, 1,109.58 and 472.66

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Solution

The fourth proportional to 804.04, 1,109.58 and 472.66 is: 652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.04 : 1,109.58 = 472.66 : x
  2. Step 2: Convert to fraction form
    804.04/1,109.58 = 472.66/x
  3. Step 3: Cross multiply
    804.04x = 1,109.58 × 472.66
  4. Step 4: Simplify right side
    804.04x = 524,453.32
  5. Step 5: Solve for x
    x = 524,453.32/804.04
  6. Step 6: Final answer
    x = 652.27

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