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Finding the Fourth Proportional to 770.37, 1,156.25 and 359.74

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Solution

The fourth proportional to 770.37, 1,156.25 and 359.74 is: 539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.37 : 1,156.25 = 359.74 : x
  2. Step 2: Convert to fraction form
    770.37/1,156.25 = 359.74/x
  3. Step 3: Cross multiply
    770.37x = 1,156.25 × 359.74
  4. Step 4: Simplify right side
    770.37x = 415,949.38
  5. Step 5: Solve for x
    x = 415,949.38/770.37
  6. Step 6: Final answer
    x = 539.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.