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Finding the Fourth Proportional to 1,049.52, 1,574.40 and 400.26

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Solution

The fourth proportional to 1,049.52, 1,574.40 and 400.26 is: 600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.52 : 1,574.40 = 400.26 : x
  2. Step 2: Convert to fraction form
    1,049.52/1,574.40 = 400.26/x
  3. Step 3: Cross multiply
    1,049.52x = 1,574.40 × 400.26
  4. Step 4: Simplify right side
    1,049.52x = 630,169.34
  5. Step 5: Solve for x
    x = 630,169.34/1,049.52
  6. Step 6: Final answer
    x = 600.44

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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.