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Finding the Fourth Proportional to 746.26, 1,031.12 and 719.98

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Solution

The fourth proportional to 746.26, 1,031.12 and 719.98 is: 994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.26 : 1,031.12 = 719.98 : x
  2. Step 2: Convert to fraction form
    746.26/1,031.12 = 719.98/x
  3. Step 3: Cross multiply
    746.26x = 1,031.12 × 719.98
  4. Step 4: Simplify right side
    746.26x = 742,385.78
  5. Step 5: Solve for x
    x = 742,385.78/746.26
  6. Step 6: Final answer
    x = 994.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.