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Finding the Fourth Proportional to 995.44, 1,493.76 and 585.40

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Solution

The fourth proportional to 995.44, 1,493.76 and 585.40 is: 878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.44 : 1,493.76 = 585.40 : x
  2. Step 2: Convert to fraction form
    995.44/1,493.76 = 585.40/x
  3. Step 3: Cross multiply
    995.44x = 1,493.76 × 585.40
  4. Step 4: Simplify right side
    995.44x = 874,447.10
  5. Step 5: Solve for x
    x = 874,447.10/995.44
  6. Step 6: Final answer
    x = 878.45

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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.