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Finding the Fourth Proportional to 684.72, 942.52 and 597.24

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Solution

The fourth proportional to 684.72, 942.52 and 597.24 is: 822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.72 : 942.52 = 597.24 : x
  2. Step 2: Convert to fraction form
    684.72/942.52 = 597.24/x
  3. Step 3: Cross multiply
    684.72x = 942.52 × 597.24
  4. Step 4: Simplify right side
    684.72x = 562,910.64
  5. Step 5: Solve for x
    x = 562,910.64/684.72
  6. Step 6: Final answer
    x = 822.10

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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.