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Finding the Fourth Proportional to 771.93, 1,157.66 and 730.01

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Solution

The fourth proportional to 771.93, 1,157.66 and 730.01 is: 1,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.93 : 1,157.66 = 730.01 : x
  2. Step 2: Convert to fraction form
    771.93/1,157.66 = 730.01/x
  3. Step 3: Cross multiply
    771.93x = 1,157.66 × 730.01
  4. Step 4: Simplify right side
    771.93x = 845,105.36
  5. Step 5: Solve for x
    x = 845,105.36/771.93
  6. Step 6: Final answer
    x = 1,094.80

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