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Finding the Fourth Proportional to 784.26, 1,174.59 and 459.90

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Solution

The fourth proportional to 784.26, 1,174.59 and 459.90 is: 688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.26 : 1,174.59 = 459.90 : x
  2. Step 2: Convert to fraction form
    784.26/1,174.59 = 459.90/x
  3. Step 3: Cross multiply
    784.26x = 1,174.59 × 459.90
  4. Step 4: Simplify right side
    784.26x = 540,193.94
  5. Step 5: Solve for x
    x = 540,193.94/784.26
  6. Step 6: Final answer
    x = 688.79

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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.