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Finding the Fourth Proportional to 1,175.95, 1,622.10 and 777.62

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Solution

The fourth proportional to 1,175.95, 1,622.10 and 777.62 is: 1,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.95 : 1,622.10 = 777.62 : x
  2. Step 2: Convert to fraction form
    1,175.95/1,622.10 = 777.62/x
  3. Step 3: Cross multiply
    1,175.95x = 1,622.10 × 777.62
  4. Step 4: Simplify right side
    1,175.95x = 1,261,377.40
  5. Step 5: Solve for x
    x = 1,261,377.40/1,175.95
  6. Step 6: Final answer
    x = 1,072.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.