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Finding the Fourth Proportional to 782.67, 1,080 and 433.29

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Solution

The fourth proportional to 782.67, 1,080 and 433.29 is: 597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.67 : 1,080 = 433.29 : x
  2. Step 2: Convert to fraction form
    782.67/1,080 = 433.29/x
  3. Step 3: Cross multiply
    782.67x = 1,080 × 433.29
  4. Step 4: Simplify right side
    782.67x = 467,953.20
  5. Step 5: Solve for x
    x = 467,953.20/782.67
  6. Step 6: Final answer
    x = 597.89

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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.