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Finding the Fourth Proportional to 1,175.56, 1,621.72 and 777.64

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Solution

The fourth proportional to 1,175.56, 1,621.72 and 777.64 is: 1,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.56 : 1,621.72 = 777.64 : x
  2. Step 2: Convert to fraction form
    1,175.56/1,621.72 = 777.64/x
  3. Step 3: Cross multiply
    1,175.56x = 1,621.72 × 777.64
  4. Step 4: Simplify right side
    1,175.56x = 1,261,114.34
  5. Step 5: Solve for x
    x = 1,261,114.34/1,175.56
  6. Step 6: Final answer
    x = 1,072.78

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1.5x scale

Why These Related Problems?

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