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Finding the Fourth Proportional to 727.79, 1,004.30 and 433.00

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Solution

The fourth proportional to 727.79, 1,004.30 and 433.00 is: 597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.79 : 1,004.30 = 433.00 : x
  2. Step 2: Convert to fraction form
    727.79/1,004.30 = 433.00/x
  3. Step 3: Cross multiply
    727.79x = 1,004.30 × 433.00
  4. Step 4: Simplify right side
    727.79x = 434,856.96
  5. Step 5: Solve for x
    x = 434,856.96/727.79
  6. Step 6: Final answer
    x = 597.51

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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.