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Finding the Fourth Proportional to 1,333.30, 1,839.66 and 802.04

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Solution

The fourth proportional to 1,333.30, 1,839.66 and 802.04 is: 1,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.30 : 1,839.66 = 802.04 : x
  2. Step 2: Convert to fraction form
    1,333.30/1,839.66 = 802.04/x
  3. Step 3: Cross multiply
    1,333.30x = 1,839.66 × 802.04
  4. Step 4: Simplify right side
    1,333.30x = 1,475,486.70
  5. Step 5: Solve for x
    x = 1,475,486.70/1,333.30
  6. Step 6: Final answer
    x = 1,106.64

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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.