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Finding the Fourth Proportional to 1,175.79, 1,621.88 and 777.45

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Solution

The fourth proportional to 1,175.79, 1,621.88 and 777.45 is: 1,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.79 : 1,621.88 = 777.45 : x
  2. Step 2: Convert to fraction form
    1,175.79/1,621.88 = 777.45/x
  3. Step 3: Cross multiply
    1,175.79x = 1,621.88 × 777.45
  4. Step 4: Simplify right side
    1,175.79x = 1,260,926.72
  5. Step 5: Solve for x
    x = 1,260,926.72/1,175.79
  6. Step 6: Final answer
    x = 1,072.41

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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.