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Finding the Fourth Proportional to 1,295.70, 1,942.11 and 776.40

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Solution

The fourth proportional to 1,295.70, 1,942.11 and 776.40 is: 1,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.70 : 1,942.11 = 776.40 : x
  2. Step 2: Convert to fraction form
    1,295.70/1,942.11 = 776.40/x
  3. Step 3: Cross multiply
    1,295.70x = 1,942.11 × 776.40
  4. Step 4: Simplify right side
    1,295.70x = 1,507,854.20
  5. Step 5: Solve for x
    x = 1,507,854.20/1,295.70
  6. Step 6: Final answer
    x = 1,163.74

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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.