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Finding the Fourth Proportional to 1,322.89, 1,983.33 and 802.77

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Solution

The fourth proportional to 1,322.89, 1,983.33 and 802.77 is: 1,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.89 : 1,983.33 = 802.77 : x
  2. Step 2: Convert to fraction form
    1,322.89/1,983.33 = 802.77/x
  3. Step 3: Cross multiply
    1,322.89x = 1,983.33 × 802.77
  4. Step 4: Simplify right side
    1,322.89x = 1,592,157.82
  5. Step 5: Solve for x
    x = 1,592,157.82/1,322.89
  6. Step 6: Final answer
    x = 1,203.55

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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.