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Finding the Fourth Proportional to 1,219.01, 1,825.76 and 731.03

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Solution

The fourth proportional to 1,219.01, 1,825.76 and 731.03 is: 1,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.01 : 1,825.76 = 731.03 : x
  2. Step 2: Convert to fraction form
    1,219.01/1,825.76 = 731.03/x
  3. Step 3: Cross multiply
    1,219.01x = 1,825.76 × 731.03
  4. Step 4: Simplify right side
    1,219.01x = 1,334,678.03
  5. Step 5: Solve for x
    x = 1,334,678.03/1,219.01
  6. Step 6: Final answer
    x = 1,094.89

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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.