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Finding the Fourth Proportional to 784.42, 1,176.77 and 264.47

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Solution

The fourth proportional to 784.42, 1,176.77 and 264.47 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,176.77 = 264.47 : x
  2. Step 2: Convert to fraction form
    784.42/1,176.77 = 264.47/x
  3. Step 3: Cross multiply
    784.42x = 1,176.77 × 264.47
  4. Step 4: Simplify right side
    784.42x = 311,220.36
  5. Step 5: Solve for x
    x = 311,220.36/784.42
  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.