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Finding the Fourth Proportional to 852.73, 1,278.82 and 420.19

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Solution

The fourth proportional to 852.73, 1,278.82 and 420.19 is: 630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.73 : 1,278.82 = 420.19 : x
  2. Step 2: Convert to fraction form
    852.73/1,278.82 = 420.19/x
  3. Step 3: Cross multiply
    852.73x = 1,278.82 × 420.19
  4. Step 4: Simplify right side
    852.73x = 537,347.38
  5. Step 5: Solve for x
    x = 537,347.38/852.73
  6. Step 6: Final answer
    x = 630.15

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.