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Finding the Fourth Proportional to 995.23, 1,370.28 and 845.53

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Solution

The fourth proportional to 995.23, 1,370.28 and 845.53 is: 1,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.23 : 1,370.28 = 845.53 : x
  2. Step 2: Convert to fraction form
    995.23/1,370.28 = 845.53/x
  3. Step 3: Cross multiply
    995.23x = 1,370.28 × 845.53
  4. Step 4: Simplify right side
    995.23x = 1,158,612.85
  5. Step 5: Solve for x
    x = 1,158,612.85/995.23
  6. Step 6: Final answer
    x = 1,164.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.