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Finding the Fourth Proportional to 762.36, 1,052.01 and 513.64

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Solution

The fourth proportional to 762.36, 1,052.01 and 513.64 is: 708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.36 : 1,052.01 = 513.64 : x
  2. Step 2: Convert to fraction form
    762.36/1,052.01 = 513.64/x
  3. Step 3: Cross multiply
    762.36x = 1,052.01 × 513.64
  4. Step 4: Simplify right side
    762.36x = 540,354.42
  5. Step 5: Solve for x
    x = 540,354.42/762.36
  6. Step 6: Final answer
    x = 708.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.