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Finding the Fourth Proportional to 771.58, 1,157.01 and 277.93

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Solution

The fourth proportional to 771.58, 1,157.01 and 277.93 is: 416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.58 : 1,157.01 = 277.93 : x
  2. Step 2: Convert to fraction form
    771.58/1,157.01 = 277.93/x
  3. Step 3: Cross multiply
    771.58x = 1,157.01 × 277.93
  4. Step 4: Simplify right side
    771.58x = 321,567.79
  5. Step 5: Solve for x
    x = 321,567.79/771.58
  6. Step 6: Final answer
    x = 416.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.