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Finding the Fourth Proportional to 619.27, 928.94 and 510.86

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Solution

The fourth proportional to 619.27, 928.94 and 510.86 is: 766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.27 : 928.94 = 510.86 : x
  2. Step 2: Convert to fraction form
    619.27/928.94 = 510.86/x
  3. Step 3: Cross multiply
    619.27x = 928.94 × 510.86
  4. Step 4: Simplify right side
    619.27x = 474,558.06
  5. Step 5: Solve for x
    x = 474,558.06/619.27
  6. Step 6: Final answer
    x = 766.32

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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.