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Finding the Fourth Proportional to 734.92, 1,102.64 and 324

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Solution

The fourth proportional to 734.92, 1,102.64 and 324 is: 486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.92 : 1,102.64 = 324 : x
  2. Step 2: Convert to fraction form
    734.92/1,102.64 = 324/x
  3. Step 3: Cross multiply
    734.92x = 1,102.64 × 324
  4. Step 4: Simplify right side
    734.92x = 357,253.74
  5. Step 5: Solve for x
    x = 357,253.74/734.92
  6. Step 6: Final answer
    x = 486.11

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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.