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Finding the Fourth Proportional to 684.72, 1,027.08 and 625.32

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Solution

The fourth proportional to 684.72, 1,027.08 and 625.32 is: 937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 1,027.08 = 625.32 : x
  2. Step 2: Convert to fraction form
    684.72/1,027.08 = 625.32/x
  3. Step 3: Cross multiply
    684.72x = 1,027.08 × 625.32
  4. Step 4: Simplify right side
    684.72x = 642,253.67
  5. Step 5: Solve for x
    x = 642,253.67/684.72
  6. Step 6: Final answer
    x = 937.98

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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.