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Finding the Fourth Proportional to 1,629.70, 2,444.54 and 807.75

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Solution

The fourth proportional to 1,629.70, 2,444.54 and 807.75 is: 1,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.70 : 2,444.54 = 807.75 : x
  2. Step 2: Convert to fraction form
    1,629.70/2,444.54 = 807.75/x
  3. Step 3: Cross multiply
    1,629.70x = 2,444.54 × 807.75
  4. Step 4: Simplify right side
    1,629.70x = 1,974,577.19
  5. Step 5: Solve for x
    x = 1,974,577.19/1,629.70
  6. Step 6: Final answer
    x = 1,211.62

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1.5x scale

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.