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Finding the Fourth Proportional to 1,152.80, 1,729.21 and 287.12

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Solution

The fourth proportional to 1,152.80, 1,729.21 and 287.12 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.80 : 1,729.21 = 287.12 : x
  2. Step 2: Convert to fraction form
    1,152.80/1,729.21 = 287.12/x
  3. Step 3: Cross multiply
    1,152.80x = 1,729.21 × 287.12
  4. Step 4: Simplify right side
    1,152.80x = 496,481.41
  5. Step 5: Solve for x
    x = 496,481.41/1,152.80
  6. Step 6: Final answer
    x = 430.67

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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.