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Finding the Fourth Proportional to 1,160.04, 1,740.17 and 338.32

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Solution

The fourth proportional to 1,160.04, 1,740.17 and 338.32 is: 507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.04 : 1,740.17 = 338.32 : x
  2. Step 2: Convert to fraction form
    1,160.04/1,740.17 = 338.32/x
  3. Step 3: Cross multiply
    1,160.04x = 1,740.17 × 338.32
  4. Step 4: Simplify right side
    1,160.04x = 588,725.61
  5. Step 5: Solve for x
    x = 588,725.61/1,160.04
  6. Step 6: Final answer
    x = 507.51

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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.