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Finding the Fourth Proportional to 784.67, 1,176.86 and 264.53

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Solution

The fourth proportional to 784.67, 1,176.86 and 264.53 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.67 : 1,176.86 = 264.53 : x
  2. Step 2: Convert to fraction form
    784.67/1,176.86 = 264.53/x
  3. Step 3: Cross multiply
    784.67x = 1,176.86 × 264.53
  4. Step 4: Simplify right side
    784.67x = 311,314.78
  5. Step 5: Solve for x
    x = 311,314.78/784.67
  6. Step 6: Final answer
    x = 396.75

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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.