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Finding the Fourth Proportional to 784.69, 1,176.17 and 345.48

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Solution

The fourth proportional to 784.69, 1,176.17 and 345.48 is: 517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,176.17 = 345.48 : x
  2. Step 2: Convert to fraction form
    784.69/1,176.17 = 345.48/x
  3. Step 3: Cross multiply
    784.69x = 1,176.17 × 345.48
  4. Step 4: Simplify right side
    784.69x = 406,342.04
  5. Step 5: Solve for x
    x = 406,342.04/784.69
  6. Step 6: Final answer
    x = 517.84

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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.