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Finding the Fourth Proportional to 1,078.95, 1,487.44 and 912.49

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Solution

The fourth proportional to 1,078.95, 1,487.44 and 912.49 is: 1,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.95 : 1,487.44 = 912.49 : x
  2. Step 2: Convert to fraction form
    1,078.95/1,487.44 = 912.49/x
  3. Step 3: Cross multiply
    1,078.95x = 1,487.44 × 912.49
  4. Step 4: Simplify right side
    1,078.95x = 1,357,269.56
  5. Step 5: Solve for x
    x = 1,357,269.56/1,078.95
  6. Step 6: Final answer
    x = 1,257.96

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1.5x scale

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.