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Finding the Fourth Proportional to 774.02, 1,160.16 and 408.02

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Solution

The fourth proportional to 774.02, 1,160.16 and 408.02 is: 611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.02 : 1,160.16 = 408.02 : x
  2. Step 2: Convert to fraction form
    774.02/1,160.16 = 408.02/x
  3. Step 3: Cross multiply
    774.02x = 1,160.16 × 408.02
  4. Step 4: Simplify right side
    774.02x = 473,368.48
  5. Step 5: Solve for x
    x = 473,368.48/774.02
  6. Step 6: Final answer
    x = 611.57

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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.