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Finding the Fourth Proportional to 1,191.81, 1,784.46 and 802.47

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Solution

The fourth proportional to 1,191.81, 1,784.46 and 802.47 is: 1,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.81 : 1,784.46 = 802.47 : x
  2. Step 2: Convert to fraction form
    1,191.81/1,784.46 = 802.47/x
  3. Step 3: Cross multiply
    1,191.81x = 1,784.46 × 802.47
  4. Step 4: Simplify right side
    1,191.81x = 1,431,975.62
  5. Step 5: Solve for x
    x = 1,431,975.62/1,191.81
  6. Step 6: Final answer
    x = 1,201.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.