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Finding the Fourth Proportional to 1,319.93, 1,979.96 and 442.51

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Solution

The fourth proportional to 1,319.93, 1,979.96 and 442.51 is: 663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.93 : 1,979.96 = 442.51 : x
  2. Step 2: Convert to fraction form
    1,319.93/1,979.96 = 442.51/x
  3. Step 3: Cross multiply
    1,319.93x = 1,979.96 × 442.51
  4. Step 4: Simplify right side
    1,319.93x = 876,152.10
  5. Step 5: Solve for x
    x = 876,152.10/1,319.93
  6. Step 6: Final answer
    x = 663.79

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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.