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Finding the Fourth Proportional to 1,152.96, 1,729.47 and 287.28

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Solution

The fourth proportional to 1,152.96, 1,729.47 and 287.28 is: 430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.96 : 1,729.47 = 287.28 : x
  2. Step 2: Convert to fraction form
    1,152.96/1,729.47 = 287.28/x
  3. Step 3: Cross multiply
    1,152.96x = 1,729.47 × 287.28
  4. Step 4: Simplify right side
    1,152.96x = 496,842.14
  5. Step 5: Solve for x
    x = 496,842.14/1,152.96
  6. Step 6: Final answer
    x = 430.93

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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.