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Finding the Fourth Proportional to 846.83, 1,169.15 and 548.24

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Solution

The fourth proportional to 846.83, 1,169.15 and 548.24 is: 756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.83 : 1,169.15 = 548.24 : x
  2. Step 2: Convert to fraction form
    846.83/1,169.15 = 548.24/x
  3. Step 3: Cross multiply
    846.83x = 1,169.15 × 548.24
  4. Step 4: Simplify right side
    846.83x = 640,966.21
  5. Step 5: Solve for x
    x = 640,966.21/846.83
  6. Step 6: Final answer
    x = 756.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.