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Finding the Fourth Proportional to 684.98, 1,028.68 and 454.13

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Solution

The fourth proportional to 684.98, 1,028.68 and 454.13 is: 681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.98 : 1,028.68 = 454.13 : x
  2. Step 2: Convert to fraction form
    684.98/1,028.68 = 454.13/x
  3. Step 3: Cross multiply
    684.98x = 1,028.68 × 454.13
  4. Step 4: Simplify right side
    684.98x = 467,148.17
  5. Step 5: Solve for x
    x = 467,148.17/684.98
  6. Step 6: Final answer
    x = 681.99

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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.