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Finding the Fourth Proportional to 727.77, 1,004.34 and 433.20

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Solution

The fourth proportional to 727.77, 1,004.34 and 433.20 is: 597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.77 : 1,004.34 = 433.20 : x
  2. Step 2: Convert to fraction form
    727.77/1,004.34 = 433.20/x
  3. Step 3: Cross multiply
    727.77x = 1,004.34 × 433.20
  4. Step 4: Simplify right side
    727.77x = 435,080.09
  5. Step 5: Solve for x
    x = 435,080.09/727.77
  6. Step 6: Final answer
    x = 597.83

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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.