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Finding the Fourth Proportional to 874.13, 1,310.65 and 412.00

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Solution

The fourth proportional to 874.13, 1,310.65 and 412.00 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,310.65 = 412.00 : x
  2. Step 2: Convert to fraction form
    874.13/1,310.65 = 412.00/x
  3. Step 3: Cross multiply
    874.13x = 1,310.65 × 412.00
  4. Step 4: Simplify right side
    874.13x = 539,983.49
  5. Step 5: Solve for x
    x = 539,983.49/874.13
  6. Step 6: Final answer
    x = 617.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.