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Finding the Fourth Proportional to 785.16, 1,177.28 and 264.99

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Solution

The fourth proportional to 785.16, 1,177.28 and 264.99 is: 397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.16 : 1,177.28 = 264.99 : x
  2. Step 2: Convert to fraction form
    785.16/1,177.28 = 264.99/x
  3. Step 3: Cross multiply
    785.16x = 1,177.28 × 264.99
  4. Step 4: Simplify right side
    785.16x = 311,967.43
  5. Step 5: Solve for x
    x = 311,967.43/785.16
  6. Step 6: Final answer
    x = 397.33

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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.