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Finding the Fourth Proportional to 1,021.76, 1,533.14 and 405.90

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Solution

The fourth proportional to 1,021.76, 1,533.14 and 405.90 is: 609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.76 : 1,533.14 = 405.90 : x
  2. Step 2: Convert to fraction form
    1,021.76/1,533.14 = 405.90/x
  3. Step 3: Cross multiply
    1,021.76x = 1,533.14 × 405.90
  4. Step 4: Simplify right side
    1,021.76x = 622,301.53
  5. Step 5: Solve for x
    x = 622,301.53/1,021.76
  6. Step 6: Final answer
    x = 609.05

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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.