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Finding the Fourth Proportional to 1,457.38, 2,011.14 and 794.20

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Solution

The fourth proportional to 1,457.38, 2,011.14 and 794.20 is: 1,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.38 : 2,011.14 = 794.20 : x
  2. Step 2: Convert to fraction form
    1,457.38/2,011.14 = 794.20/x
  3. Step 3: Cross multiply
    1,457.38x = 2,011.14 × 794.20
  4. Step 4: Simplify right side
    1,457.38x = 1,597,247.39
  5. Step 5: Solve for x
    x = 1,597,247.39/1,457.38
  6. Step 6: Final answer
    x = 1,095.97

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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.