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Finding the Fourth Proportional to 1,159.82, 1,740.08 and 338.10

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Solution

The fourth proportional to 1,159.82, 1,740.08 and 338.10 is: 507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.82 : 1,740.08 = 338.10 : x
  2. Step 2: Convert to fraction form
    1,159.82/1,740.08 = 338.10/x
  3. Step 3: Cross multiply
    1,159.82x = 1,740.08 × 338.10
  4. Step 4: Simplify right side
    1,159.82x = 588,321.05
  5. Step 5: Solve for x
    x = 588,321.05/1,159.82
  6. Step 6: Final answer
    x = 507.25

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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.