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Finding the Fourth Proportional to 846.91, 1,270.38 and 462.16

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Solution

The fourth proportional to 846.91, 1,270.38 and 462.16 is: 693.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.91 : 1,270.38 = 462.16 : x
  2. Step 2: Convert to fraction form
    846.91/1,270.38 = 462.16/x
  3. Step 3: Cross multiply
    846.91x = 1,270.38 × 462.16
  4. Step 4: Simplify right side
    846.91x = 587,118.82
  5. Step 5: Solve for x
    x = 587,118.82/846.91
  6. Step 6: Final answer
    x = 693.25

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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.