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Finding the Fourth Proportional to 1,049.84, 1,574.96 and 400.52

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Solution

The fourth proportional to 1,049.84, 1,574.96 and 400.52 is: 600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.84 : 1,574.96 = 400.52 : x
  2. Step 2: Convert to fraction form
    1,049.84/1,574.96 = 400.52/x
  3. Step 3: Cross multiply
    1,049.84x = 1,574.96 × 400.52
  4. Step 4: Simplify right side
    1,049.84x = 630,802.98
  5. Step 5: Solve for x
    x = 630,802.98/1,049.84
  6. Step 6: Final answer
    x = 600.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.