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Finding the Fourth Proportional to 1,306.26, 1,956.51 and 792.18

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Solution

The fourth proportional to 1,306.26, 1,956.51 and 792.18 is: 1,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.26 : 1,956.51 = 792.18 : x
  2. Step 2: Convert to fraction form
    1,306.26/1,956.51 = 792.18/x
  3. Step 3: Cross multiply
    1,306.26x = 1,956.51 × 792.18
  4. Step 4: Simplify right side
    1,306.26x = 1,549,908.09
  5. Step 5: Solve for x
    x = 1,549,908.09/1,306.26
  6. Step 6: Final answer
    x = 1,186.52

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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.