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Finding the Fourth Proportional to 1,151.91, 1,728.75 and 844.55

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Solution

The fourth proportional to 1,151.91, 1,728.75 and 844.55 is: 1,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.91 : 1,728.75 = 844.55 : x
  2. Step 2: Convert to fraction form
    1,151.91/1,728.75 = 844.55/x
  3. Step 3: Cross multiply
    1,151.91x = 1,728.75 × 844.55
  4. Step 4: Simplify right side
    1,151.91x = 1,460,015.81
  5. Step 5: Solve for x
    x = 1,460,015.81/1,151.91
  6. Step 6: Final answer
    x = 1,267.47

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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.