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Finding the Fourth Proportional to 827.89, 1,143.02 and 513.48

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Solution

The fourth proportional to 827.89, 1,143.02 and 513.48 is: 708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.89 : 1,143.02 = 513.48 : x
  2. Step 2: Convert to fraction form
    827.89/1,143.02 = 513.48/x
  3. Step 3: Cross multiply
    827.89x = 1,143.02 × 513.48
  4. Step 4: Simplify right side
    827.89x = 586,915.34
  5. Step 5: Solve for x
    x = 586,915.34/827.89
  6. Step 6: Final answer
    x = 708.93

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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.