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Finding the Fourth Proportional to 785.36, 1,177.60 and 352.24

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Solution

The fourth proportional to 785.36, 1,177.60 and 352.24 is: 528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.36 : 1,177.60 = 352.24 : x
  2. Step 2: Convert to fraction form
    785.36/1,177.60 = 352.24/x
  3. Step 3: Cross multiply
    785.36x = 1,177.60 × 352.24
  4. Step 4: Simplify right side
    785.36x = 414,797.82
  5. Step 5: Solve for x
    x = 414,797.82/785.36
  6. Step 6: Final answer
    x = 528.16

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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.