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Finding the Fourth Proportional to 995.31, 1,484.19 and 859.23

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Solution

The fourth proportional to 995.31, 1,484.19 and 859.23 is: 1,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.31 : 1,484.19 = 859.23 : x
  2. Step 2: Convert to fraction form
    995.31/1,484.19 = 859.23/x
  3. Step 3: Cross multiply
    995.31x = 1,484.19 × 859.23
  4. Step 4: Simplify right side
    995.31x = 1,275,260.57
  5. Step 5: Solve for x
    x = 1,275,260.57/995.31
  6. Step 6: Final answer
    x = 1,281.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.