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Finding the Fourth Proportional to 1,172.24, 1,759 and 478.76

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Solution

The fourth proportional to 1,172.24, 1,759 and 478.76 is: 718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.24 : 1,759 = 478.76 : x
  2. Step 2: Convert to fraction form
    1,172.24/1,759 = 478.76/x
  3. Step 3: Cross multiply
    1,172.24x = 1,759 × 478.76
  4. Step 4: Simplify right side
    1,172.24x = 842,138.84
  5. Step 5: Solve for x
    x = 842,138.84/1,172.24
  6. Step 6: Final answer
    x = 718.40

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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.