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Finding the Fourth Proportional to 628.14, 859.14 and 618.06

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Solution

The fourth proportional to 628.14, 859.14 and 618.06 is: 845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.14 : 859.14 = 618.06 : x
  2. Step 2: Convert to fraction form
    628.14/859.14 = 618.06/x
  3. Step 3: Cross multiply
    628.14x = 859.14 × 618.06
  4. Step 4: Simplify right side
    628.14x = 531,000.07
  5. Step 5: Solve for x
    x = 531,000.07/628.14
  6. Step 6: Final answer
    x = 845.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.