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Finding the Fourth Proportional to 1,076.39, 1,612.51 and 746.65

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Solution

The fourth proportional to 1,076.39, 1,612.51 and 746.65 is: 1,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.39 : 1,612.51 = 746.65 : x
  2. Step 2: Convert to fraction form
    1,076.39/1,612.51 = 746.65/x
  3. Step 3: Cross multiply
    1,076.39x = 1,612.51 × 746.65
  4. Step 4: Simplify right side
    1,076.39x = 1,203,980.74
  5. Step 5: Solve for x
    x = 1,203,980.74/1,076.39
  6. Step 6: Final answer
    x = 1,118.54

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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.