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Finding the Fourth Proportional to 995.85, 1,494.29 and 411.30

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Solution

The fourth proportional to 995.85, 1,494.29 and 411.30 is: 617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.85 : 1,494.29 = 411.30 : x
  2. Step 2: Convert to fraction form
    995.85/1,494.29 = 411.30/x
  3. Step 3: Cross multiply
    995.85x = 1,494.29 × 411.30
  4. Step 4: Simplify right side
    995.85x = 614,602.51
  5. Step 5: Solve for x
    x = 614,602.51/995.85
  6. Step 6: Final answer
    x = 617.16

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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.