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Finding the Fourth Proportional to 995.40, 1,489.25 and 718.40

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Solution

The fourth proportional to 995.40, 1,489.25 and 718.40 is: 1,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.40 : 1,489.25 = 718.40 : x
  2. Step 2: Convert to fraction form
    995.40/1,489.25 = 718.40/x
  3. Step 3: Cross multiply
    995.40x = 1,489.25 × 718.40
  4. Step 4: Simplify right side
    995.40x = 1,069,866.16
  5. Step 5: Solve for x
    x = 1,069,866.16/995.40
  6. Step 6: Final answer
    x = 1,074.81

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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.