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Finding the Fourth Proportional to 677.08, 933.96 and 594.12

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Solution

The fourth proportional to 677.08, 933.96 and 594.12 is: 819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.08 : 933.96 = 594.12 : x
  2. Step 2: Convert to fraction form
    677.08/933.96 = 594.12/x
  3. Step 3: Cross multiply
    677.08x = 933.96 × 594.12
  4. Step 4: Simplify right side
    677.08x = 554,884.32
  5. Step 5: Solve for x
    x = 554,884.32/677.08
  6. Step 6: Final answer
    x = 819.53

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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.