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Finding the Fourth Proportional to 774.89, 1,069.37 and 476.11

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Solution

The fourth proportional to 774.89, 1,069.37 and 476.11 is: 657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.89 : 1,069.37 = 476.11 : x
  2. Step 2: Convert to fraction form
    774.89/1,069.37 = 476.11/x
  3. Step 3: Cross multiply
    774.89x = 1,069.37 × 476.11
  4. Step 4: Simplify right side
    774.89x = 509,137.75
  5. Step 5: Solve for x
    x = 509,137.75/774.89
  6. Step 6: Final answer
    x = 657.05

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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.