Home / 1,457.16-2,010.94-827.76

Finding the Fourth Proportional to 1,457.16, 2,010.94 and 827.76

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Solution

The fourth proportional to 1,457.16, 2,010.94 and 827.76 is: 1,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.16 : 2,010.94 = 827.76 : x
  2. Step 2: Convert to fraction form
    1,457.16/2,010.94 = 827.76/x
  3. Step 3: Cross multiply
    1,457.16x = 2,010.94 × 827.76
  4. Step 4: Simplify right side
    1,457.16x = 1,664,575.69
  5. Step 5: Solve for x
    x = 1,664,575.69/1,457.16
  6. Step 6: Final answer
    x = 1,142.34

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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.