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Finding the Fourth Proportional to 727.92, 1,004.38 and 433.14

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Solution

The fourth proportional to 727.92, 1,004.38 and 433.14 is: 597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.92 : 1,004.38 = 433.14 : x
  2. Step 2: Convert to fraction form
    727.92/1,004.38 = 433.14/x
  3. Step 3: Cross multiply
    727.92x = 1,004.38 × 433.14
  4. Step 4: Simplify right side
    727.92x = 435,032.30
  5. Step 5: Solve for x
    x = 435,032.30/727.92
  6. Step 6: Final answer
    x = 597.64

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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.