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Finding the Fourth Proportional to 1,022.13, 1,533.36 and 354.99

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Solution

The fourth proportional to 1,022.13, 1,533.36 and 354.99 is: 532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.13 : 1,533.36 = 354.99 : x
  2. Step 2: Convert to fraction form
    1,022.13/1,533.36 = 354.99/x
  3. Step 3: Cross multiply
    1,022.13x = 1,533.36 × 354.99
  4. Step 4: Simplify right side
    1,022.13x = 544,327.47
  5. Step 5: Solve for x
    x = 544,327.47/1,022.13
  6. Step 6: Final answer
    x = 532.54

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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.