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Finding the Fourth Proportional to 1,173.15, 1,760.08 and 351.45

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Solution

The fourth proportional to 1,173.15, 1,760.08 and 351.45 is: 527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.15 : 1,760.08 = 351.45 : x
  2. Step 2: Convert to fraction form
    1,173.15/1,760.08 = 351.45/x
  3. Step 3: Cross multiply
    1,173.15x = 1,760.08 × 351.45
  4. Step 4: Simplify right side
    1,173.15x = 618,579.24
  5. Step 5: Solve for x
    x = 618,579.24/1,173.15
  6. Step 6: Final answer
    x = 527.28

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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.