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Finding the Fourth Proportional to 1,049.55, 1,573.77 and 433.14

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Solution

The fourth proportional to 1,049.55, 1,573.77 and 433.14 is: 649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.55 : 1,573.77 = 433.14 : x
  2. Step 2: Convert to fraction form
    1,049.55/1,573.77 = 433.14/x
  3. Step 3: Cross multiply
    1,049.55x = 1,573.77 × 433.14
  4. Step 4: Simplify right side
    1,049.55x = 681,662.74
  5. Step 5: Solve for x
    x = 681,662.74/1,049.55
  6. Step 6: Final answer
    x = 649.48

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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.