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Finding the Fourth Proportional to 1,218.80, 1,828.58 and 353.11

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Solution

The fourth proportional to 1,218.80, 1,828.58 and 353.11 is: 529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.80 : 1,828.58 = 353.11 : x
  2. Step 2: Convert to fraction form
    1,218.80/1,828.58 = 353.11/x
  3. Step 3: Cross multiply
    1,218.80x = 1,828.58 × 353.11
  4. Step 4: Simplify right side
    1,218.80x = 645,686.98
  5. Step 5: Solve for x
    x = 645,686.98/1,218.80
  6. Step 6: Final answer
    x = 529.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.