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Finding the Fourth Proportional to 827.64, 1,142.28 and 630.78

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Solution

The fourth proportional to 827.64, 1,142.28 and 630.78 is: 870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.64 : 1,142.28 = 630.78 : x
  2. Step 2: Convert to fraction form
    827.64/1,142.28 = 630.78/x
  3. Step 3: Cross multiply
    827.64x = 1,142.28 × 630.78
  4. Step 4: Simplify right side
    827.64x = 720,527.38
  5. Step 5: Solve for x
    x = 720,527.38/827.64
  6. Step 6: Final answer
    x = 870.58

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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.