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Finding the Fourth Proportional to 1,417.44, 1,955.22 and 827.76

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Solution

The fourth proportional to 1,417.44, 1,955.22 and 827.76 is: 1,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.44 : 1,955.22 = 827.76 : x
  2. Step 2: Convert to fraction form
    1,417.44/1,955.22 = 827.76/x
  3. Step 3: Cross multiply
    1,417.44x = 1,955.22 × 827.76
  4. Step 4: Simplify right side
    1,417.44x = 1,618,452.91
  5. Step 5: Solve for x
    x = 1,618,452.91/1,417.44
  6. Step 6: Final answer
    x = 1,141.81

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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.