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Finding the Fourth Proportional to 1,332.94, 1,839.91 and 802.12

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Solution

The fourth proportional to 1,332.94, 1,839.91 and 802.12 is: 1,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.94 : 1,839.91 = 802.12 : x
  2. Step 2: Convert to fraction form
    1,332.94/1,839.91 = 802.12/x
  3. Step 3: Cross multiply
    1,332.94x = 1,839.91 × 802.12
  4. Step 4: Simplify right side
    1,332.94x = 1,475,818.41
  5. Step 5: Solve for x
    x = 1,475,818.41/1,332.94
  6. Step 6: Final answer
    x = 1,107.19

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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.