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Finding the Fourth Proportional to 1,174.88, 1,762.34 and 394.89

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Solution

The fourth proportional to 1,174.88, 1,762.34 and 394.89 is: 592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.88 : 1,762.34 = 394.89 : x
  2. Step 2: Convert to fraction form
    1,174.88/1,762.34 = 394.89/x
  3. Step 3: Cross multiply
    1,174.88x = 1,762.34 × 394.89
  4. Step 4: Simplify right side
    1,174.88x = 695,924.08
  5. Step 5: Solve for x
    x = 695,924.08/1,174.88
  6. Step 6: Final answer
    x = 592.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.