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Finding the Fourth Proportional to 1,160.96, 1,741.26 and 339.04

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Solution

The fourth proportional to 1,160.96, 1,741.26 and 339.04 is: 508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.96 : 1,741.26 = 339.04 : x
  2. Step 2: Convert to fraction form
    1,160.96/1,741.26 = 339.04/x
  3. Step 3: Cross multiply
    1,160.96x = 1,741.26 × 339.04
  4. Step 4: Simplify right side
    1,160.96x = 590,356.79
  5. Step 5: Solve for x
    x = 590,356.79/1,160.96
  6. Step 6: Final answer
    x = 508.51

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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.