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Finding the Fourth Proportional to 684.62, 945.15 and 510.38

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Solution

The fourth proportional to 684.62, 945.15 and 510.38 is: 704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.62 : 945.15 = 510.38 : x
  2. Step 2: Convert to fraction form
    684.62/945.15 = 510.38/x
  3. Step 3: Cross multiply
    684.62x = 945.15 × 510.38
  4. Step 4: Simplify right side
    684.62x = 482,385.66
  5. Step 5: Solve for x
    x = 482,385.66/684.62
  6. Step 6: Final answer
    x = 704.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.