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Finding the Fourth Proportional to 784.30, 1,176.14 and 264.20

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Solution

The fourth proportional to 784.30, 1,176.14 and 264.20 is: 396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.30 : 1,176.14 = 264.20 : x
  2. Step 2: Convert to fraction form
    784.30/1,176.14 = 264.20/x
  3. Step 3: Cross multiply
    784.30x = 1,176.14 × 264.20
  4. Step 4: Simplify right side
    784.30x = 310,736.19
  5. Step 5: Solve for x
    x = 310,736.19/784.30
  6. Step 6: Final answer
    x = 396.20

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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.