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Finding the Fourth Proportional to 518.03, 775.67 and 456.51

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Solution

The fourth proportional to 518.03, 775.67 and 456.51 is: 683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.03 : 775.67 = 456.51 : x
  2. Step 2: Convert to fraction form
    518.03/775.67 = 456.51/x
  3. Step 3: Cross multiply
    518.03x = 775.67 × 456.51
  4. Step 4: Simplify right side
    518.03x = 354,098.83
  5. Step 5: Solve for x
    x = 354,098.83/518.03
  6. Step 6: Final answer
    x = 683.56

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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.