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Finding the Fourth Proportional to 1,151.96, 1,589.23 and 802.85

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Solution

The fourth proportional to 1,151.96, 1,589.23 and 802.85 is: 1,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.96 : 1,589.23 = 802.85 : x
  2. Step 2: Convert to fraction form
    1,151.96/1,589.23 = 802.85/x
  3. Step 3: Cross multiply
    1,151.96x = 1,589.23 × 802.85
  4. Step 4: Simplify right side
    1,151.96x = 1,275,913.31
  5. Step 5: Solve for x
    x = 1,275,913.31/1,151.96
  6. Step 6: Final answer
    x = 1,107.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.