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Finding the Fourth Proportional to 1,147.16, 1,719.20 and 626.39

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Solution

The fourth proportional to 1,147.16, 1,719.20 and 626.39 is: 938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.16 : 1,719.20 = 626.39 : x
  2. Step 2: Convert to fraction form
    1,147.16/1,719.20 = 626.39/x
  3. Step 3: Cross multiply
    1,147.16x = 1,719.20 × 626.39
  4. Step 4: Simplify right side
    1,147.16x = 1,076,889.10
  5. Step 5: Solve for x
    x = 1,076,889.10/1,147.16
  6. Step 6: Final answer
    x = 938.74

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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.