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Finding the Fourth Proportional to 1,301.30, 1,953.42 and 814.64

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Solution

The fourth proportional to 1,301.30, 1,953.42 and 814.64 is: 1,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.30 : 1,953.42 = 814.64 : x
  2. Step 2: Convert to fraction form
    1,301.30/1,953.42 = 814.64/x
  3. Step 3: Cross multiply
    1,301.30x = 1,953.42 × 814.64
  4. Step 4: Simplify right side
    1,301.30x = 1,591,334.07
  5. Step 5: Solve for x
    x = 1,591,334.07/1,301.30
  6. Step 6: Final answer
    x = 1,222.88

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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.