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Finding the Fourth Proportional to 1,299.54, 1,949.34 and 478.04

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Solution

The fourth proportional to 1,299.54, 1,949.34 and 478.04 is: 717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.54 : 1,949.34 = 478.04 : x
  2. Step 2: Convert to fraction form
    1,299.54/1,949.34 = 478.04/x
  3. Step 3: Cross multiply
    1,299.54x = 1,949.34 × 478.04
  4. Step 4: Simplify right side
    1,299.54x = 931,862.49
  5. Step 5: Solve for x
    x = 931,862.49/1,299.54
  6. Step 6: Final answer
    x = 717.07

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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.