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Finding the Fourth Proportional to 684.96, 945.36 and 612

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Solution

The fourth proportional to 684.96, 945.36 and 612 is: 844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.96 : 945.36 = 612 : x
  2. Step 2: Convert to fraction form
    684.96/945.36 = 612/x
  3. Step 3: Cross multiply
    684.96x = 945.36 × 612
  4. Step 4: Simplify right side
    684.96x = 578,560.32
  5. Step 5: Solve for x
    x = 578,560.32/684.96
  6. Step 6: Final answer
    x = 844.66

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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.