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Finding the Fourth Proportional to 1,192.04, 1,788.90 and 802.79

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Solution

The fourth proportional to 1,192.04, 1,788.90 and 802.79 is: 1,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.04 : 1,788.90 = 802.79 : x
  2. Step 2: Convert to fraction form
    1,192.04/1,788.90 = 802.79/x
  3. Step 3: Cross multiply
    1,192.04x = 1,788.90 × 802.79
  4. Step 4: Simplify right side
    1,192.04x = 1,436,111.03
  5. Step 5: Solve for x
    x = 1,436,111.03/1,192.04
  6. Step 6: Final answer
    x = 1,204.75

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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.