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Finding the Fourth Proportional to 1,160.23, 1,737.84 and 770.41

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Solution

The fourth proportional to 1,160.23, 1,737.84 and 770.41 is: 1,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.23 : 1,737.84 = 770.41 : x
  2. Step 2: Convert to fraction form
    1,160.23/1,737.84 = 770.41/x
  3. Step 3: Cross multiply
    1,160.23x = 1,737.84 × 770.41
  4. Step 4: Simplify right side
    1,160.23x = 1,338,849.31
  5. Step 5: Solve for x
    x = 1,338,849.31/1,160.23
  6. Step 6: Final answer
    x = 1,153.95

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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.