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Finding the Fourth Proportional to 1,157.42, 1,597.86 and 779.87

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Solution

The fourth proportional to 1,157.42, 1,597.86 and 779.87 is: 1,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.42 : 1,597.86 = 779.87 : x
  2. Step 2: Convert to fraction form
    1,157.42/1,597.86 = 779.87/x
  3. Step 3: Cross multiply
    1,157.42x = 1,597.86 × 779.87
  4. Step 4: Simplify right side
    1,157.42x = 1,246,115.09
  5. Step 5: Solve for x
    x = 1,246,115.09/1,157.42
  6. Step 6: Final answer
    x = 1,076.64

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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.