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Finding the Fourth Proportional to 1,330.88, 1,996.20 and 465.20

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Solution

The fourth proportional to 1,330.88, 1,996.20 and 465.20 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.88 : 1,996.20 = 465.20 : x
  2. Step 2: Convert to fraction form
    1,330.88/1,996.20 = 465.20/x
  3. Step 3: Cross multiply
    1,330.88x = 1,996.20 × 465.20
  4. Step 4: Simplify right side
    1,330.88x = 928,632.24
  5. Step 5: Solve for x
    x = 928,632.24/1,330.88
  6. Step 6: Final answer
    x = 697.76

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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.