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Finding the Fourth Proportional to 1,391.99, 1,921.12 and 802.53

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Solution

The fourth proportional to 1,391.99, 1,921.12 and 802.53 is: 1,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.99 : 1,921.12 = 802.53 : x
  2. Step 2: Convert to fraction form
    1,391.99/1,921.12 = 802.53/x
  3. Step 3: Cross multiply
    1,391.99x = 1,921.12 × 802.53
  4. Step 4: Simplify right side
    1,391.99x = 1,541,744.82
  5. Step 5: Solve for x
    x = 1,541,744.82/1,391.99
  6. Step 6: Final answer
    x = 1,107.59

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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.