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Finding the Fourth Proportional to 1,049.54, 1,574.04 and 400.46

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Solution

The fourth proportional to 1,049.54, 1,574.04 and 400.46 is: 600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.54 : 1,574.04 = 400.46 : x
  2. Step 2: Convert to fraction form
    1,049.54/1,574.04 = 400.46/x
  3. Step 3: Cross multiply
    1,049.54x = 1,574.04 × 400.46
  4. Step 4: Simplify right side
    1,049.54x = 630,340.06
  5. Step 5: Solve for x
    x = 630,340.06/1,049.54
  6. Step 6: Final answer
    x = 600.59

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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.