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Finding the Fourth Proportional to 1,082.64, 1,623.48 and 342.06

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Solution

The fourth proportional to 1,082.64, 1,623.48 and 342.06 is: 512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.64 : 1,623.48 = 342.06 : x
  2. Step 2: Convert to fraction form
    1,082.64/1,623.48 = 342.06/x
  3. Step 3: Cross multiply
    1,082.64x = 1,623.48 × 342.06
  4. Step 4: Simplify right side
    1,082.64x = 555,327.57
  5. Step 5: Solve for x
    x = 555,327.57/1,082.64
  6. Step 6: Final answer
    x = 512.94

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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.