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Finding the Fourth Proportional to 780.14, 1,170.21 and 535.92

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Solution

The fourth proportional to 780.14, 1,170.21 and 535.92 is: 803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.14 : 1,170.21 = 535.92 : x
  2. Step 2: Convert to fraction form
    780.14/1,170.21 = 535.92/x
  3. Step 3: Cross multiply
    780.14x = 1,170.21 × 535.92
  4. Step 4: Simplify right side
    780.14x = 627,138.94
  5. Step 5: Solve for x
    x = 627,138.94/780.14
  6. Step 6: Final answer
    x = 803.89

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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.