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Finding the Fourth Proportional to 770.95, 1,156.94 and 360.12

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Solution

The fourth proportional to 770.95, 1,156.94 and 360.12 is: 540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.95 : 1,156.94 = 360.12 : x
  2. Step 2: Convert to fraction form
    770.95/1,156.94 = 360.12/x
  3. Step 3: Cross multiply
    770.95x = 1,156.94 × 360.12
  4. Step 4: Simplify right side
    770.95x = 416,637.23
  5. Step 5: Solve for x
    x = 416,637.23/770.95
  6. Step 6: Final answer
    x = 540.42

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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.