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Finding the Fourth Proportional to 1,160.24, 1,740.54 and 338.40

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Solution

The fourth proportional to 1,160.24, 1,740.54 and 338.40 is: 507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.24 : 1,740.54 = 338.40 : x
  2. Step 2: Convert to fraction form
    1,160.24/1,740.54 = 338.40/x
  3. Step 3: Cross multiply
    1,160.24x = 1,740.54 × 338.40
  4. Step 4: Simplify right side
    1,160.24x = 588,998.74
  5. Step 5: Solve for x
    x = 588,998.74/1,160.24
  6. Step 6: Final answer
    x = 507.65

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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.