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Finding the Fourth Proportional to 784.22, 1,176.53 and 351.54

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Solution

The fourth proportional to 784.22, 1,176.53 and 351.54 is: 527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.22 : 1,176.53 = 351.54 : x
  2. Step 2: Convert to fraction form
    784.22/1,176.53 = 351.54/x
  3. Step 3: Cross multiply
    784.22x = 1,176.53 × 351.54
  4. Step 4: Simplify right side
    784.22x = 413,595.60
  5. Step 5: Solve for x
    x = 413,595.60/784.22
  6. Step 6: Final answer
    x = 527.40

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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.