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Finding the Fourth Proportional to 1,218.74, 1,828.13 and 397.01

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Solution

The fourth proportional to 1,218.74, 1,828.13 and 397.01 is: 595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.74 : 1,828.13 = 397.01 : x
  2. Step 2: Convert to fraction form
    1,218.74/1,828.13 = 397.01/x
  3. Step 3: Cross multiply
    1,218.74x = 1,828.13 × 397.01
  4. Step 4: Simplify right side
    1,218.74x = 725,774.77
  5. Step 5: Solve for x
    x = 725,774.77/1,218.74
  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.