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Finding the Fourth Proportional to 784.88, 1,083.12 and 564.05

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Solution

The fourth proportional to 784.88, 1,083.12 and 564.05 is: 778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.88 : 1,083.12 = 564.05 : x
  2. Step 2: Convert to fraction form
    784.88/1,083.12 = 564.05/x
  3. Step 3: Cross multiply
    784.88x = 1,083.12 × 564.05
  4. Step 4: Simplify right side
    784.88x = 610,928.42
  5. Step 5: Solve for x
    x = 610,928.42/784.88
  6. Step 6: Final answer
    x = 778.38

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Why These Related Problems?

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