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Finding the Fourth Proportional to 1,160.31, 1,740.72 and 338.53

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Solution

The fourth proportional to 1,160.31, 1,740.72 and 338.53 is: 507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.31 : 1,740.72 = 338.53 : x
  2. Step 2: Convert to fraction form
    1,160.31/1,740.72 = 338.53/x
  3. Step 3: Cross multiply
    1,160.31x = 1,740.72 × 338.53
  4. Step 4: Simplify right side
    1,160.31x = 589,283.27
  5. Step 5: Solve for x
    x = 589,283.27/1,160.31
  6. Step 6: Final answer
    x = 507.87

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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.