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Finding the Fourth Proportional to 1,204.04, 1,802.82 and 985.34

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Solution

The fourth proportional to 1,204.04, 1,802.82 and 985.34 is: 1,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.04 : 1,802.82 = 985.34 : x
  2. Step 2: Convert to fraction form
    1,204.04/1,802.82 = 985.34/x
  3. Step 3: Cross multiply
    1,204.04x = 1,802.82 × 985.34
  4. Step 4: Simplify right side
    1,204.04x = 1,776,390.66
  5. Step 5: Solve for x
    x = 1,776,390.66/1,204.04
  6. Step 6: Final answer
    x = 1,475.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.