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Finding the Fourth Proportional to 804.05, 1,109.66 and 472.58

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Solution

The fourth proportional to 804.05, 1,109.66 and 472.58 is: 652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.05 : 1,109.66 = 472.58 : x
  2. Step 2: Convert to fraction form
    804.05/1,109.66 = 472.58/x
  3. Step 3: Cross multiply
    804.05x = 1,109.66 × 472.58
  4. Step 4: Simplify right side
    804.05x = 524,395.21
  5. Step 5: Solve for x
    x = 524,395.21/804.05
  6. Step 6: Final answer
    x = 652.20

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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.