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Finding the Fourth Proportional to 780.12, 1,170.05 and 293.13

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Solution

The fourth proportional to 780.12, 1,170.05 and 293.13 is: 439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.12 : 1,170.05 = 293.13 : x
  2. Step 2: Convert to fraction form
    780.12/1,170.05 = 293.13/x
  3. Step 3: Cross multiply
    780.12x = 1,170.05 × 293.13
  4. Step 4: Simplify right side
    780.12x = 342,975.29
  5. Step 5: Solve for x
    x = 342,975.29/780.12
  6. Step 6: Final answer
    x = 439.64

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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.