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Finding the Fourth Proportional to 1,250.79, 1,725.62 and 784.23

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Solution

The fourth proportional to 1,250.79, 1,725.62 and 784.23 is: 1,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.79 : 1,725.62 = 784.23 : x
  2. Step 2: Convert to fraction form
    1,250.79/1,725.62 = 784.23/x
  3. Step 3: Cross multiply
    1,250.79x = 1,725.62 × 784.23
  4. Step 4: Simplify right side
    1,250.79x = 1,353,279.05
  5. Step 5: Solve for x
    x = 1,353,279.05/1,250.79
  6. Step 6: Final answer
    x = 1,081.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.