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Finding the Fourth Proportional to 770.33, 1,155.23 and 250.19

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Solution

The fourth proportional to 770.33, 1,155.23 and 250.19 is: 375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.33 : 1,155.23 = 250.19 : x
  2. Step 2: Convert to fraction form
    770.33/1,155.23 = 250.19/x
  3. Step 3: Cross multiply
    770.33x = 1,155.23 × 250.19
  4. Step 4: Simplify right side
    770.33x = 289,026.99
  5. Step 5: Solve for x
    x = 289,026.99/770.33
  6. Step 6: Final answer
    x = 375.20

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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.