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Finding the Fourth Proportional to 1,168.38, 1,752.30 and 346.46

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Solution

The fourth proportional to 1,168.38, 1,752.30 and 346.46 is: 519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.38 : 1,752.30 = 346.46 : x
  2. Step 2: Convert to fraction form
    1,168.38/1,752.30 = 346.46/x
  3. Step 3: Cross multiply
    1,168.38x = 1,752.30 × 346.46
  4. Step 4: Simplify right side
    1,168.38x = 607,101.86
  5. Step 5: Solve for x
    x = 607,101.86/1,168.38
  6. Step 6: Final answer
    x = 519.61

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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.