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Finding the Fourth Proportional to 912.08, 1,257.18 and 754.94

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Solution

The fourth proportional to 912.08, 1,257.18 and 754.94 is: 1,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.08 : 1,257.18 = 754.94 : x
  2. Step 2: Convert to fraction form
    912.08/1,257.18 = 754.94/x
  3. Step 3: Cross multiply
    912.08x = 1,257.18 × 754.94
  4. Step 4: Simplify right side
    912.08x = 949,095.47
  5. Step 5: Solve for x
    x = 949,095.47/912.08
  6. Step 6: Final answer
    x = 1,040.58

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Why These Related Problems?

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