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Finding the Fourth Proportional to 1,243.64, 1,864.02 and 512.84

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Solution

The fourth proportional to 1,243.64, 1,864.02 and 512.84 is: 768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.64 : 1,864.02 = 512.84 : x
  2. Step 2: Convert to fraction form
    1,243.64/1,864.02 = 512.84/x
  3. Step 3: Cross multiply
    1,243.64x = 1,864.02 × 512.84
  4. Step 4: Simplify right side
    1,243.64x = 955,944.02
  5. Step 5: Solve for x
    x = 955,944.02/1,243.64
  6. Step 6: Final answer
    x = 768.67

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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.