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Finding the Fourth Proportional to 1,305.16, 1,953.80 and 842.02

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Solution

The fourth proportional to 1,305.16, 1,953.80 and 842.02 is: 1,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.16 : 1,953.80 = 842.02 : x
  2. Step 2: Convert to fraction form
    1,305.16/1,953.80 = 842.02/x
  3. Step 3: Cross multiply
    1,305.16x = 1,953.80 × 842.02
  4. Step 4: Simplify right side
    1,305.16x = 1,645,138.68
  5. Step 5: Solve for x
    x = 1,645,138.68/1,305.16
  6. Step 6: Final answer
    x = 1,260.49

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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.