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Finding the Fourth Proportional to 770.45, 1,155.13 and 405.41

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Solution

The fourth proportional to 770.45, 1,155.13 and 405.41 is: 607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.45 : 1,155.13 = 405.41 : x
  2. Step 2: Convert to fraction form
    770.45/1,155.13 = 405.41/x
  3. Step 3: Cross multiply
    770.45x = 1,155.13 × 405.41
  4. Step 4: Simplify right side
    770.45x = 468,294.46
  5. Step 5: Solve for x
    x = 468,294.46/770.45
  6. Step 6: Final answer
    x = 607.82

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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.