Home / 1,457.18-2,010.59-827.66

Finding the Fourth Proportional to 1,457.18, 2,010.59 and 827.66

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Solution

The fourth proportional to 1,457.18, 2,010.59 and 827.66 is: 1,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.18 : 2,010.59 = 827.66 : x
  2. Step 2: Convert to fraction form
    1,457.18/2,010.59 = 827.66/x
  3. Step 3: Cross multiply
    1,457.18x = 2,010.59 × 827.66
  4. Step 4: Simplify right side
    1,457.18x = 1,664,070.73
  5. Step 5: Solve for x
    x = 1,664,070.73/1,457.18
  6. Step 6: Final answer
    x = 1,141.98

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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.