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Finding the Fourth Proportional to 807.04, 1,202 and 802.92

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Solution

The fourth proportional to 807.04, 1,202 and 802.92 is: 1,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.04 : 1,202 = 802.92 : x
  2. Step 2: Convert to fraction form
    807.04/1,202 = 802.92/x
  3. Step 3: Cross multiply
    807.04x = 1,202 × 802.92
  4. Step 4: Simplify right side
    807.04x = 965,109.84
  5. Step 5: Solve for x
    x = 965,109.84/807.04
  6. Step 6: Final answer
    x = 1,195.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.