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Finding the Fourth Proportional to 1,333.33, 1,840.45 and 802.51

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Solution

The fourth proportional to 1,333.33, 1,840.45 and 802.51 is: 1,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.33 : 1,840.45 = 802.51 : x
  2. Step 2: Convert to fraction form
    1,333.33/1,840.45 = 802.51/x
  3. Step 3: Cross multiply
    1,333.33x = 1,840.45 × 802.51
  4. Step 4: Simplify right side
    1,333.33x = 1,476,970.33
  5. Step 5: Solve for x
    x = 1,476,970.33/1,333.33
  6. Step 6: Final answer
    x = 1,107.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.