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Finding the Fourth Proportional to 693.64, 1,040.01 and 511.03

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Solution

The fourth proportional to 693.64, 1,040.01 and 511.03 is: 766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.64 : 1,040.01 = 511.03 : x
  2. Step 2: Convert to fraction form
    693.64/1,040.01 = 511.03/x
  3. Step 3: Cross multiply
    693.64x = 1,040.01 × 511.03
  4. Step 4: Simplify right side
    693.64x = 531,476.31
  5. Step 5: Solve for x
    x = 531,476.31/693.64
  6. Step 6: Final answer
    x = 766.21

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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.