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Finding the Fourth Proportional to 1,457.17, 2,010.39 and 827.65

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Solution

The fourth proportional to 1,457.17, 2,010.39 and 827.65 is: 1,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.17 : 2,010.39 = 827.65 : x
  2. Step 2: Convert to fraction form
    1,457.17/2,010.39 = 827.65/x
  3. Step 3: Cross multiply
    1,457.17x = 2,010.39 × 827.65
  4. Step 4: Simplify right side
    1,457.17x = 1,663,899.28
  5. Step 5: Solve for x
    x = 1,663,899.28/1,457.17
  6. Step 6: Final answer
    x = 1,141.87

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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.