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Finding the Fourth Proportional to 1,152.84, 1,729.26 and 287.15

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Solution

The fourth proportional to 1,152.84, 1,729.26 and 287.15 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.84 : 1,729.26 = 287.15 : x
  2. Step 2: Convert to fraction form
    1,152.84/1,729.26 = 287.15/x
  3. Step 3: Cross multiply
    1,152.84x = 1,729.26 × 287.15
  4. Step 4: Simplify right side
    1,152.84x = 496,557.01
  5. Step 5: Solve for x
    x = 496,557.01/1,152.84
  6. Step 6: Final answer
    x = 430.73

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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.