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Finding the Fourth Proportional to 780.91, 1,171.40 and 318.67

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Solution

The fourth proportional to 780.91, 1,171.40 and 318.67 is: 478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.91 : 1,171.40 = 318.67 : x
  2. Step 2: Convert to fraction form
    780.91/1,171.40 = 318.67/x
  3. Step 3: Cross multiply
    780.91x = 1,171.40 × 318.67
  4. Step 4: Simplify right side
    780.91x = 373,285.52
  5. Step 5: Solve for x
    x = 373,285.52/780.91
  6. Step 6: Final answer
    x = 478.02

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Why These Related Problems?

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