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Finding the Fourth Proportional to 1,323.86, 1,981.85 and 802.29

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Solution

The fourth proportional to 1,323.86, 1,981.85 and 802.29 is: 1,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.86 : 1,981.85 = 802.29 : x
  2. Step 2: Convert to fraction form
    1,323.86/1,981.85 = 802.29/x
  3. Step 3: Cross multiply
    1,323.86x = 1,981.85 × 802.29
  4. Step 4: Simplify right side
    1,323.86x = 1,590,014.43
  5. Step 5: Solve for x
    x = 1,590,014.43/1,323.86
  6. Step 6: Final answer
    x = 1,201.04

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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.