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Finding the Fourth Proportional to 784.78, 1,083 and 444.10

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Solution

The fourth proportional to 784.78, 1,083 and 444.10 is: 612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.78 : 1,083 = 444.10 : x
  2. Step 2: Convert to fraction form
    784.78/1,083 = 444.10/x
  3. Step 3: Cross multiply
    784.78x = 1,083 × 444.10
  4. Step 4: Simplify right side
    784.78x = 480,960.30
  5. Step 5: Solve for x
    x = 480,960.30/784.78
  6. Step 6: Final answer
    x = 612.86

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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.