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Finding the Fourth Proportional to 846.69, 1,270.52 and 456.69

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Solution

The fourth proportional to 846.69, 1,270.52 and 456.69 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.69 : 1,270.52 = 456.69 : x
  2. Step 2: Convert to fraction form
    846.69/1,270.52 = 456.69/x
  3. Step 3: Cross multiply
    846.69x = 1,270.52 × 456.69
  4. Step 4: Simplify right side
    846.69x = 580,230.83
  5. Step 5: Solve for x
    x = 580,230.83/846.69
  6. Step 6: Final answer
    x = 685.30

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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.