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Finding the Fourth Proportional to 1,444.74, 1,993.95 and 948.12

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Solution

The fourth proportional to 1,444.74, 1,993.95 and 948.12 is: 1,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.74 : 1,993.95 = 948.12 : x
  2. Step 2: Convert to fraction form
    1,444.74/1,993.95 = 948.12/x
  3. Step 3: Cross multiply
    1,444.74x = 1,993.95 × 948.12
  4. Step 4: Simplify right side
    1,444.74x = 1,890,503.87
  5. Step 5: Solve for x
    x = 1,890,503.87/1,444.74
  6. Step 6: Final answer
    x = 1,308.54

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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.