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Finding the Fourth Proportional to 1,240.74, 1,858.95 and 912.42

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Solution

The fourth proportional to 1,240.74, 1,858.95 and 912.42 is: 1,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.74 : 1,858.95 = 912.42 : x
  2. Step 2: Convert to fraction form
    1,240.74/1,858.95 = 912.42/x
  3. Step 3: Cross multiply
    1,240.74x = 1,858.95 × 912.42
  4. Step 4: Simplify right side
    1,240.74x = 1,696,143.16
  5. Step 5: Solve for x
    x = 1,696,143.16/1,240.74
  6. Step 6: Final answer
    x = 1,367.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.