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Finding the Fourth Proportional to 774.48, 1,162.40 and 409.53

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Solution

The fourth proportional to 774.48, 1,162.40 and 409.53 is: 614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.48 : 1,162.40 = 409.53 : x
  2. Step 2: Convert to fraction form
    774.48/1,162.40 = 409.53/x
  3. Step 3: Cross multiply
    774.48x = 1,162.40 × 409.53
  4. Step 4: Simplify right side
    774.48x = 476,035.62
  5. Step 5: Solve for x
    x = 476,035.62/774.48
  6. Step 6: Final answer
    x = 614.65

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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.