Home / 1,457.24-2,011.05-827.77

Finding the Fourth Proportional to 1,457.24, 2,011.05 and 827.77

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Solution

The fourth proportional to 1,457.24, 2,011.05 and 827.77 is: 1,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.24 : 2,011.05 = 827.77 : x
  2. Step 2: Convert to fraction form
    1,457.24/2,011.05 = 827.77/x
  3. Step 3: Cross multiply
    1,457.24x = 2,011.05 × 827.77
  4. Step 4: Simplify right side
    1,457.24x = 1,664,672.66
  5. Step 5: Solve for x
    x = 1,664,672.66/1,457.24
  6. Step 6: Final answer
    x = 1,142.35

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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.