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Finding the Fourth Proportional to 827.84, 1,142.34 and 478.46

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Solution

The fourth proportional to 827.84, 1,142.34 and 478.46 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.84 : 1,142.34 = 478.46 : x
  2. Step 2: Convert to fraction form
    827.84/1,142.34 = 478.46/x
  3. Step 3: Cross multiply
    827.84x = 1,142.34 × 478.46
  4. Step 4: Simplify right side
    827.84x = 546,564.00
  5. Step 5: Solve for x
    x = 546,564.00/827.84
  6. Step 6: Final answer
    x = 660.23

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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.