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Finding the Fourth Proportional to 774.29, 1,160.26 and 465.80

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Solution

The fourth proportional to 774.29, 1,160.26 and 465.80 is: 697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.29 : 1,160.26 = 465.80 : x
  2. Step 2: Convert to fraction form
    774.29/1,160.26 = 465.80/x
  3. Step 3: Cross multiply
    774.29x = 1,160.26 × 465.80
  4. Step 4: Simplify right side
    774.29x = 540,442.14
  5. Step 5: Solve for x
    x = 540,442.14/774.29
  6. Step 6: Final answer
    x = 697.98

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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.