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Finding the Fourth Proportional to 1,160.14, 1,740.46 and 338.46

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Solution

The fourth proportional to 1,160.14, 1,740.46 and 338.46 is: 507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.14 : 1,740.46 = 338.46 : x
  2. Step 2: Convert to fraction form
    1,160.14/1,740.46 = 338.46/x
  3. Step 3: Cross multiply
    1,160.14x = 1,740.46 × 338.46
  4. Step 4: Simplify right side
    1,160.14x = 589,076.09
  5. Step 5: Solve for x
    x = 589,076.09/1,160.14
  6. Step 6: Final answer
    x = 507.76

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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.