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Finding the Fourth Proportional to 770.57, 1,156.38 and 359.75

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Solution

The fourth proportional to 770.57, 1,156.38 and 359.75 is: 539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.57 : 1,156.38 = 359.75 : x
  2. Step 2: Convert to fraction form
    770.57/1,156.38 = 359.75/x
  3. Step 3: Cross multiply
    770.57x = 1,156.38 × 359.75
  4. Step 4: Simplify right side
    770.57x = 416,007.71
  5. Step 5: Solve for x
    x = 416,007.71/770.57
  6. Step 6: Final answer
    x = 539.87

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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.