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Finding the Fourth Proportional to 1,218.96, 1,828.20 and 353.28

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Solution

The fourth proportional to 1,218.96, 1,828.20 and 353.28 is: 529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.96 : 1,828.20 = 353.28 : x
  2. Step 2: Convert to fraction form
    1,218.96/1,828.20 = 353.28/x
  3. Step 3: Cross multiply
    1,218.96x = 1,828.20 × 353.28
  4. Step 4: Simplify right side
    1,218.96x = 645,866.50
  5. Step 5: Solve for x
    x = 645,866.50/1,218.96
  6. Step 6: Final answer
    x = 529.85

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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.