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Finding the Fourth Proportional to 852.38, 1,178.46 and 592.34

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Solution

The fourth proportional to 852.38, 1,178.46 and 592.34 is: 818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.38 : 1,178.46 = 592.34 : x
  2. Step 2: Convert to fraction form
    852.38/1,178.46 = 592.34/x
  3. Step 3: Cross multiply
    852.38x = 1,178.46 × 592.34
  4. Step 4: Simplify right side
    852.38x = 698,049.00
  5. Step 5: Solve for x
    x = 698,049.00/852.38
  6. Step 6: Final answer
    x = 818.94

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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.