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Finding the Fourth Proportional to 1,457.45, 2,186.85 and 764.90

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Solution

The fourth proportional to 1,457.45, 2,186.85 and 764.90 is: 1,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.45 : 2,186.85 = 764.90 : x
  2. Step 2: Convert to fraction form
    1,457.45/2,186.85 = 764.90/x
  3. Step 3: Cross multiply
    1,457.45x = 2,186.85 × 764.90
  4. Step 4: Simplify right side
    1,457.45x = 1,672,721.57
  5. Step 5: Solve for x
    x = 1,672,721.57/1,457.45
  6. Step 6: Final answer
    x = 1,147.70

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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.