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Finding the Fourth Proportional to 1,160.66, 1,741.04 and 338.99

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Solution

The fourth proportional to 1,160.66, 1,741.04 and 338.99 is: 508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.66 : 1,741.04 = 338.99 : x
  2. Step 2: Convert to fraction form
    1,160.66/1,741.04 = 338.99/x
  3. Step 3: Cross multiply
    1,160.66x = 1,741.04 × 338.99
  4. Step 4: Simplify right side
    1,160.66x = 590,184.75
  5. Step 5: Solve for x
    x = 590,184.75/1,160.66
  6. Step 6: Final answer
    x = 508.49

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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.