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Finding the Fourth Proportional to 1,049.68, 1,573.36 and 433.05

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Solution

The fourth proportional to 1,049.68, 1,573.36 and 433.05 is: 649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.68 : 1,573.36 = 433.05 : x
  2. Step 2: Convert to fraction form
    1,049.68/1,573.36 = 433.05/x
  3. Step 3: Cross multiply
    1,049.68x = 1,573.36 × 433.05
  4. Step 4: Simplify right side
    1,049.68x = 681,338.39
  5. Step 5: Solve for x
    x = 681,338.39/1,049.68
  6. Step 6: Final answer
    x = 649.09

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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.