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Finding the Fourth Proportional to 1,450.78, 2,176.49 and 476.84

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Solution

The fourth proportional to 1,450.78, 2,176.49 and 476.84 is: 715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.78 : 2,176.49 = 476.84 : x
  2. Step 2: Convert to fraction form
    1,450.78/2,176.49 = 476.84/x
  3. Step 3: Cross multiply
    1,450.78x = 2,176.49 × 476.84
  4. Step 4: Simplify right side
    1,450.78x = 1,037,837.49
  5. Step 5: Solve for x
    x = 1,037,837.49/1,450.78
  6. Step 6: Final answer
    x = 715.37

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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.