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Finding the Fourth Proportional to 1,318.41, 1,819.50 and 759.04

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Solution

The fourth proportional to 1,318.41, 1,819.50 and 759.04 is: 1,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.41 : 1,819.50 = 759.04 : x
  2. Step 2: Convert to fraction form
    1,318.41/1,819.50 = 759.04/x
  3. Step 3: Cross multiply
    1,318.41x = 1,819.50 × 759.04
  4. Step 4: Simplify right side
    1,318.41x = 1,381,065.88
  5. Step 5: Solve for x
    x = 1,381,065.88/1,318.41
  6. Step 6: Final answer
    x = 1,047.52

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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.