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Finding the Fourth Proportional to 1,174.87, 1,762.29 and 444.31

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Solution

The fourth proportional to 1,174.87, 1,762.29 and 444.31 is: 666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.87 : 1,762.29 = 444.31 : x
  2. Step 2: Convert to fraction form
    1,174.87/1,762.29 = 444.31/x
  3. Step 3: Cross multiply
    1,174.87x = 1,762.29 × 444.31
  4. Step 4: Simplify right side
    1,174.87x = 783,003.07
  5. Step 5: Solve for x
    x = 783,003.07/1,174.87
  6. Step 6: Final answer
    x = 666.46

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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.