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Finding the Fourth Proportional to 1,546.63, 2,319.43 and 713.35

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Solution

The fourth proportional to 1,546.63, 2,319.43 and 713.35 is: 1,069.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.63 : 2,319.43 = 713.35 : x
  2. Step 2: Convert to fraction form
    1,546.63/2,319.43 = 713.35/x
  3. Step 3: Cross multiply
    1,546.63x = 2,319.43 × 713.35
  4. Step 4: Simplify right side
    1,546.63x = 1,654,565.39
  5. Step 5: Solve for x
    x = 1,654,565.39/1,546.63
  6. Step 6: Final answer
    x = 1,069.79

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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.