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Finding the Fourth Proportional to 1,050.22, 1,575.33 and 401.14

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Solution

The fourth proportional to 1,050.22, 1,575.33 and 401.14 is: 601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.22 : 1,575.33 = 401.14 : x
  2. Step 2: Convert to fraction form
    1,050.22/1,575.33 = 401.14/x
  3. Step 3: Cross multiply
    1,050.22x = 1,575.33 × 401.14
  4. Step 4: Simplify right side
    1,050.22x = 631,927.88
  5. Step 5: Solve for x
    x = 631,927.88/1,050.22
  6. Step 6: Final answer
    x = 601.71

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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.