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Finding the Fourth Proportional to 1,175.05, 1,762.58 and 309.37

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Solution

The fourth proportional to 1,175.05, 1,762.58 and 309.37 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.05 : 1,762.58 = 309.37 : x
  2. Step 2: Convert to fraction form
    1,175.05/1,762.58 = 309.37/x
  3. Step 3: Cross multiply
    1,175.05x = 1,762.58 × 309.37
  4. Step 4: Simplify right side
    1,175.05x = 545,289.37
  5. Step 5: Solve for x
    x = 545,289.37/1,175.05
  6. Step 6: Final answer
    x = 464.06

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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.