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Finding the Fourth Proportional to 746.72, 1,117.80 and 486.16

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Solution

The fourth proportional to 746.72, 1,117.80 and 486.16 is: 727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.72 : 1,117.80 = 486.16 : x
  2. Step 2: Convert to fraction form
    746.72/1,117.80 = 486.16/x
  3. Step 3: Cross multiply
    746.72x = 1,117.80 × 486.16
  4. Step 4: Simplify right side
    746.72x = 543,429.65
  5. Step 5: Solve for x
    x = 543,429.65/746.72
  6. Step 6: Final answer
    x = 727.76

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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.