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Finding the Fourth Proportional to 782.87, 1,079.63 and 533.69

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Solution

The fourth proportional to 782.87, 1,079.63 and 533.69 is: 736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.87 : 1,079.63 = 533.69 : x
  2. Step 2: Convert to fraction form
    782.87/1,079.63 = 533.69/x
  3. Step 3: Cross multiply
    782.87x = 1,079.63 × 533.69
  4. Step 4: Simplify right side
    782.87x = 576,185.72
  5. Step 5: Solve for x
    x = 576,185.72/782.87
  6. Step 6: Final answer
    x = 736.00

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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.