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Finding the Fourth Proportional to 1,025.12, 1,411.42 and 931.58

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Solution

The fourth proportional to 1,025.12, 1,411.42 and 931.58 is: 1,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.12 : 1,411.42 = 931.58 : x
  2. Step 2: Convert to fraction form
    1,025.12/1,411.42 = 931.58/x
  3. Step 3: Cross multiply
    1,025.12x = 1,411.42 × 931.58
  4. Step 4: Simplify right side
    1,025.12x = 1,314,856.24
  5. Step 5: Solve for x
    x = 1,314,856.24/1,025.12
  6. Step 6: Final answer
    x = 1,282.64

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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.