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Finding the Fourth Proportional to 746.17, 1,117.53 and 720.23

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Solution

The fourth proportional to 746.17, 1,117.53 and 720.23 is: 1,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.17 : 1,117.53 = 720.23 : x
  2. Step 2: Convert to fraction form
    746.17/1,117.53 = 720.23/x
  3. Step 3: Cross multiply
    746.17x = 1,117.53 × 720.23
  4. Step 4: Simplify right side
    746.17x = 804,876.24
  5. Step 5: Solve for x
    x = 804,876.24/746.17
  6. Step 6: Final answer
    x = 1,078.67

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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.