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Finding the Fourth Proportional to 1,218.99, 1,828.67 and 397.06

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Solution

The fourth proportional to 1,218.99, 1,828.67 and 397.06 is: 595.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.99 : 1,828.67 = 397.06 : x
  2. Step 2: Convert to fraction form
    1,218.99/1,828.67 = 397.06/x
  3. Step 3: Cross multiply
    1,218.99x = 1,828.67 × 397.06
  4. Step 4: Simplify right side
    1,218.99x = 726,097.67
  5. Step 5: Solve for x
    x = 726,097.67/1,218.99
  6. Step 6: Final answer
    x = 595.65

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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.