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Finding the Fourth Proportional to 1,300.34, 1,949.39 and 478.46

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Solution

The fourth proportional to 1,300.34, 1,949.39 and 478.46 is: 717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.34 : 1,949.39 = 478.46 : x
  2. Step 2: Convert to fraction form
    1,300.34/1,949.39 = 478.46/x
  3. Step 3: Cross multiply
    1,300.34x = 1,949.39 × 478.46
  4. Step 4: Simplify right side
    1,300.34x = 932,693.00
  5. Step 5: Solve for x
    x = 932,693.00/1,300.34
  6. Step 6: Final answer
    x = 717.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.