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Finding the Fourth Proportional to 1,049.62, 1,574.34 and 432.94

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Solution

The fourth proportional to 1,049.62, 1,574.34 and 432.94 is: 649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.62 : 1,574.34 = 432.94 : x
  2. Step 2: Convert to fraction form
    1,049.62/1,574.34 = 432.94/x
  3. Step 3: Cross multiply
    1,049.62x = 1,574.34 × 432.94
  4. Step 4: Simplify right side
    1,049.62x = 681,594.76
  5. Step 5: Solve for x
    x = 681,594.76/1,049.62
  6. Step 6: Final answer
    x = 649.37

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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.