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Finding the Fourth Proportional to 727.24, 1,088.12 and 433.64

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Solution

The fourth proportional to 727.24, 1,088.12 and 433.64 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.24 : 1,088.12 = 433.64 : x
  2. Step 2: Convert to fraction form
    727.24/1,088.12 = 433.64/x
  3. Step 3: Cross multiply
    727.24x = 1,088.12 × 433.64
  4. Step 4: Simplify right side
    727.24x = 471,852.36
  5. Step 5: Solve for x
    x = 471,852.36/727.24
  6. Step 6: Final answer
    x = 648.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.