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Finding the Fourth Proportional to 827.58, 1,141.92 and 512.76

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Solution

The fourth proportional to 827.58, 1,141.92 and 512.76 is: 707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.58 : 1,141.92 = 512.76 : x
  2. Step 2: Convert to fraction form
    827.58/1,141.92 = 512.76/x
  3. Step 3: Cross multiply
    827.58x = 1,141.92 × 512.76
  4. Step 4: Simplify right side
    827.58x = 585,530.90
  5. Step 5: Solve for x
    x = 585,530.90/827.58
  6. Step 6: Final answer
    x = 707.52

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Double scale
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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.