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Finding the Fourth Proportional to 783.21, 1,080.86 and 433.97

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Solution

The fourth proportional to 783.21, 1,080.86 and 433.97 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.21 : 1,080.86 = 433.97 : x
  2. Step 2: Convert to fraction form
    783.21/1,080.86 = 433.97/x
  3. Step 3: Cross multiply
    783.21x = 1,080.86 × 433.97
  4. Step 4: Simplify right side
    783.21x = 469,053.24
  5. Step 5: Solve for x
    x = 469,053.24/783.21
  6. Step 6: Final answer
    x = 598.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.