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Finding the Fourth Proportional to 1,202.04, 1,802.30 and 585.80

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Solution

The fourth proportional to 1,202.04, 1,802.30 and 585.80 is: 878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.04 : 1,802.30 = 585.80 : x
  2. Step 2: Convert to fraction form
    1,202.04/1,802.30 = 585.80/x
  3. Step 3: Cross multiply
    1,202.04x = 1,802.30 × 585.80
  4. Step 4: Simplify right side
    1,202.04x = 1,055,787.34
  5. Step 5: Solve for x
    x = 1,055,787.34/1,202.04
  6. Step 6: Final answer
    x = 878.33

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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.