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Finding the Fourth Proportional to 1,049.38, 1,574.06 and 432.68

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Solution

The fourth proportional to 1,049.38, 1,574.06 and 432.68 is: 649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.38 : 1,574.06 = 432.68 : x
  2. Step 2: Convert to fraction form
    1,049.38/1,574.06 = 432.68/x
  3. Step 3: Cross multiply
    1,049.38x = 1,574.06 × 432.68
  4. Step 4: Simplify right side
    1,049.38x = 681,064.28
  5. Step 5: Solve for x
    x = 681,064.28/1,049.38
  6. Step 6: Final answer
    x = 649.02

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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.