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Finding the Fourth Proportional to 1,049.54, 1,574.64 and 433.53

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Solution

The fourth proportional to 1,049.54, 1,574.64 and 433.53 is: 650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.54 : 1,574.64 = 433.53 : x
  2. Step 2: Convert to fraction form
    1,049.54/1,574.64 = 433.53/x
  3. Step 3: Cross multiply
    1,049.54x = 1,574.64 × 433.53
  4. Step 4: Simplify right side
    1,049.54x = 682,657.96
  5. Step 5: Solve for x
    x = 682,657.96/1,049.54
  6. Step 6: Final answer
    x = 650.44

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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.