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Finding the Fourth Proportional to 1,301.68, 1,953.12 and 814.60

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Solution

The fourth proportional to 1,301.68, 1,953.12 and 814.60 is: 1,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.68 : 1,953.12 = 814.60 : x
  2. Step 2: Convert to fraction form
    1,301.68/1,953.12 = 814.60/x
  3. Step 3: Cross multiply
    1,301.68x = 1,953.12 × 814.60
  4. Step 4: Simplify right side
    1,301.68x = 1,591,011.55
  5. Step 5: Solve for x
    x = 1,591,011.55/1,301.68
  6. Step 6: Final answer
    x = 1,222.28

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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.