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Finding the Fourth Proportional to 784.75, 1,176.51 and 455.18

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Solution

The fourth proportional to 784.75, 1,176.51 and 455.18 is: 682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.75 : 1,176.51 = 455.18 : x
  2. Step 2: Convert to fraction form
    784.75/1,176.51 = 455.18/x
  3. Step 3: Cross multiply
    784.75x = 1,176.51 × 455.18
  4. Step 4: Simplify right side
    784.75x = 535,523.82
  5. Step 5: Solve for x
    x = 535,523.82/784.75
  6. Step 6: Final answer
    x = 682.42

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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.