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Finding the Fourth Proportional to 619.76, 926.76 and 457.76

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Solution

The fourth proportional to 619.76, 926.76 and 457.76 is: 684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.76 : 926.76 = 457.76 : x
  2. Step 2: Convert to fraction form
    619.76/926.76 = 457.76/x
  3. Step 3: Cross multiply
    619.76x = 926.76 × 457.76
  4. Step 4: Simplify right side
    619.76x = 424,233.66
  5. Step 5: Solve for x
    x = 424,233.66/619.76
  6. Step 6: Final answer
    x = 684.51

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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.