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Finding the Fourth Proportional to 1,174.92, 1,762.44 and 405.48

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Solution

The fourth proportional to 1,174.92, 1,762.44 and 405.48 is: 608.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.92 : 1,762.44 = 405.48 : x
  2. Step 2: Convert to fraction form
    1,174.92/1,762.44 = 405.48/x
  3. Step 3: Cross multiply
    1,174.92x = 1,762.44 × 405.48
  4. Step 4: Simplify right side
    1,174.92x = 714,634.17
  5. Step 5: Solve for x
    x = 714,634.17/1,174.92
  6. Step 6: Final answer
    x = 608.24

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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.