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Finding the Fourth Proportional to 684.24, 943.56 and 638.16

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Solution

The fourth proportional to 684.24, 943.56 and 638.16 is: 880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.24 : 943.56 = 638.16 : x
  2. Step 2: Convert to fraction form
    684.24/943.56 = 638.16/x
  3. Step 3: Cross multiply
    684.24x = 943.56 × 638.16
  4. Step 4: Simplify right side
    684.24x = 602,142.25
  5. Step 5: Solve for x
    x = 602,142.25/684.24
  6. Step 6: Final answer
    x = 880.02

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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.