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Finding the Fourth Proportional to 1,147.10, 1,719.29 and 598.31

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Solution

The fourth proportional to 1,147.10, 1,719.29 and 598.31 is: 896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.10 : 1,719.29 = 598.31 : x
  2. Step 2: Convert to fraction form
    1,147.10/1,719.29 = 598.31/x
  3. Step 3: Cross multiply
    1,147.10x = 1,719.29 × 598.31
  4. Step 4: Simplify right side
    1,147.10x = 1,028,656.81
  5. Step 5: Solve for x
    x = 1,028,656.81/1,147.10
  6. Step 6: Final answer
    x = 896.74

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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.