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Finding the Fourth Proportional to 774.34, 1,157.94 and 577.04

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Solution

The fourth proportional to 774.34, 1,157.94 and 577.04 is: 862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.34 : 1,157.94 = 577.04 : x
  2. Step 2: Convert to fraction form
    774.34/1,157.94 = 577.04/x
  3. Step 3: Cross multiply
    774.34x = 1,157.94 × 577.04
  4. Step 4: Simplify right side
    774.34x = 668,171.91
  5. Step 5: Solve for x
    x = 668,171.91/774.34
  6. Step 6: Final answer
    x = 862.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.