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Finding the Fourth Proportional to 1,179.88, 1,768 and 746.16

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Solution

The fourth proportional to 1,179.88, 1,768 and 746.16 is: 1,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.88 : 1,768 = 746.16 : x
  2. Step 2: Convert to fraction form
    1,179.88/1,768 = 746.16/x
  3. Step 3: Cross multiply
    1,179.88x = 1,768 × 746.16
  4. Step 4: Simplify right side
    1,179.88x = 1,319,210.88
  5. Step 5: Solve for x
    x = 1,319,210.88/1,179.88
  6. Step 6: Final answer
    x = 1,118.09

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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.