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Finding the Fourth Proportional to 1,218.96, 1,827.84 and 397.14

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Solution

The fourth proportional to 1,218.96, 1,827.84 and 397.14 is: 595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.96 : 1,827.84 = 397.14 : x
  2. Step 2: Convert to fraction form
    1,218.96/1,827.84 = 397.14/x
  3. Step 3: Cross multiply
    1,218.96x = 1,827.84 × 397.14
  4. Step 4: Simplify right side
    1,218.96x = 725,908.38
  5. Step 5: Solve for x
    x = 725,908.38/1,218.96
  6. Step 6: Final answer
    x = 595.51

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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.