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Finding the Fourth Proportional to 852.95, 1,278.20 and 441.20

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Solution

The fourth proportional to 852.95, 1,278.20 and 441.20 is: 661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.95 : 1,278.20 = 441.20 : x
  2. Step 2: Convert to fraction form
    852.95/1,278.20 = 441.20/x
  3. Step 3: Cross multiply
    852.95x = 1,278.20 × 441.20
  4. Step 4: Simplify right side
    852.95x = 563,946.14
  5. Step 5: Solve for x
    x = 563,946.14/852.95
  6. Step 6: Final answer
    x = 661.17

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Half scale
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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.