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Finding the Fourth Proportional to 1,049.32, 1,574.07 and 356.19

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Solution

The fourth proportional to 1,049.32, 1,574.07 and 356.19 is: 534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.32 : 1,574.07 = 356.19 : x
  2. Step 2: Convert to fraction form
    1,049.32/1,574.07 = 356.19/x
  3. Step 3: Cross multiply
    1,049.32x = 1,574.07 × 356.19
  4. Step 4: Simplify right side
    1,049.32x = 560,667.99
  5. Step 5: Solve for x
    x = 560,667.99/1,049.32
  6. Step 6: Final answer
    x = 534.32

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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.