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Finding the Fourth Proportional to 846.04, 1,268.10 and 412.20

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Solution

The fourth proportional to 846.04, 1,268.10 and 412.20 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.04 : 1,268.10 = 412.20 : x
  2. Step 2: Convert to fraction form
    846.04/1,268.10 = 412.20/x
  3. Step 3: Cross multiply
    846.04x = 1,268.10 × 412.20
  4. Step 4: Simplify right side
    846.04x = 522,710.82
  5. Step 5: Solve for x
    x = 522,710.82/846.04
  6. Step 6: Final answer
    x = 617.83

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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.