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Finding the Fourth Proportional to 1,299.92, 1,950.55 and 993.74

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Solution

The fourth proportional to 1,299.92, 1,950.55 and 993.74 is: 1,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.92 : 1,950.55 = 993.74 : x
  2. Step 2: Convert to fraction form
    1,299.92/1,950.55 = 993.74/x
  3. Step 3: Cross multiply
    1,299.92x = 1,950.55 × 993.74
  4. Step 4: Simplify right side
    1,299.92x = 1,938,335.92
  5. Step 5: Solve for x
    x = 1,938,335.92/1,299.92
  6. Step 6: Final answer
    x = 1,491.12

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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.