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Finding the Fourth Proportional to 1,478.84, 2,219.63 and 748.92

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Solution

The fourth proportional to 1,478.84, 2,219.63 and 748.92 is: 1,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.84 : 2,219.63 = 748.92 : x
  2. Step 2: Convert to fraction form
    1,478.84/2,219.63 = 748.92/x
  3. Step 3: Cross multiply
    1,478.84x = 2,219.63 × 748.92
  4. Step 4: Simplify right side
    1,478.84x = 1,662,329.88
  5. Step 5: Solve for x
    x = 1,662,329.88/1,478.84
  6. Step 6: Final answer
    x = 1,124.08

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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.