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Finding the Fourth Proportional to 774.58, 1,160.90 and 335.33

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Solution

The fourth proportional to 774.58, 1,160.90 and 335.33 is: 502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.58 : 1,160.90 = 335.33 : x
  2. Step 2: Convert to fraction form
    774.58/1,160.90 = 335.33/x
  3. Step 3: Cross multiply
    774.58x = 1,160.90 × 335.33
  4. Step 4: Simplify right side
    774.58x = 389,284.60
  5. Step 5: Solve for x
    x = 389,284.60/774.58
  6. Step 6: Final answer
    x = 502.58

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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.