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Finding the Fourth Proportional to 1,152.74, 1,728.44 and 762.32

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Solution

The fourth proportional to 1,152.74, 1,728.44 and 762.32 is: 1,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.74 : 1,728.44 = 762.32 : x
  2. Step 2: Convert to fraction form
    1,152.74/1,728.44 = 762.32/x
  3. Step 3: Cross multiply
    1,152.74x = 1,728.44 × 762.32
  4. Step 4: Simplify right side
    1,152.74x = 1,317,624.38
  5. Step 5: Solve for x
    x = 1,317,624.38/1,152.74
  6. Step 6: Final answer
    x = 1,143.04

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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.