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Finding the Fourth Proportional to 682.84, 1,021.62 and 477.76

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Solution

The fourth proportional to 682.84, 1,021.62 and 477.76 is: 714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.84 : 1,021.62 = 477.76 : x
  2. Step 2: Convert to fraction form
    682.84/1,021.62 = 477.76/x
  3. Step 3: Cross multiply
    682.84x = 1,021.62 × 477.76
  4. Step 4: Simplify right side
    682.84x = 488,089.17
  5. Step 5: Solve for x
    x = 488,089.17/682.84
  6. Step 6: Final answer
    x = 714.79

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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.