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Finding the Fourth Proportional to 995.02, 1,371.70 and 784.28

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Solution

The fourth proportional to 995.02, 1,371.70 and 784.28 is: 1,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.02 : 1,371.70 = 784.28 : x
  2. Step 2: Convert to fraction form
    995.02/1,371.70 = 784.28/x
  3. Step 3: Cross multiply
    995.02x = 1,371.70 × 784.28
  4. Step 4: Simplify right side
    995.02x = 1,075,796.88
  5. Step 5: Solve for x
    x = 1,075,796.88/995.02
  6. Step 6: Final answer
    x = 1,081.18

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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.