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Finding the Fourth Proportional to 1,476.84, 2,215.20 and 450.84

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Solution

The fourth proportional to 1,476.84, 2,215.20 and 450.84 is: 676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.84 : 2,215.20 = 450.84 : x
  2. Step 2: Convert to fraction form
    1,476.84/2,215.20 = 450.84/x
  3. Step 3: Cross multiply
    1,476.84x = 2,215.20 × 450.84
  4. Step 4: Simplify right side
    1,476.84x = 998,700.77
  5. Step 5: Solve for x
    x = 998,700.77/1,476.84
  6. Step 6: Final answer
    x = 676.24

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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.