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Finding the Fourth Proportional to 784.77, 1,176.31 and 264.30

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Solution

The fourth proportional to 784.77, 1,176.31 and 264.30 is: 396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.77 : 1,176.31 = 264.30 : x
  2. Step 2: Convert to fraction form
    784.77/1,176.31 = 264.30/x
  3. Step 3: Cross multiply
    784.77x = 1,176.31 × 264.30
  4. Step 4: Simplify right side
    784.77x = 310,898.73
  5. Step 5: Solve for x
    x = 310,898.73/784.77
  6. Step 6: Final answer
    x = 396.17

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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.