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Finding the Fourth Proportional to 1,319.72, 1,979.50 and 345.82

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Solution

The fourth proportional to 1,319.72, 1,979.50 and 345.82 is: 518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.72 : 1,979.50 = 345.82 : x
  2. Step 2: Convert to fraction form
    1,319.72/1,979.50 = 345.82/x
  3. Step 3: Cross multiply
    1,319.72x = 1,979.50 × 345.82
  4. Step 4: Simplify right side
    1,319.72x = 684,549.72
  5. Step 5: Solve for x
    x = 684,549.72/1,319.72
  6. Step 6: Final answer
    x = 518.71

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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.