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Finding the Fourth Proportional to 1,421.06, 2,132.22 and 555.08

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Solution

The fourth proportional to 1,421.06, 2,132.22 and 555.08 is: 832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.06 : 2,132.22 = 555.08 : x
  2. Step 2: Convert to fraction form
    1,421.06/2,132.22 = 555.08/x
  3. Step 3: Cross multiply
    1,421.06x = 2,132.22 × 555.08
  4. Step 4: Simplify right side
    1,421.06x = 1,183,552.68
  5. Step 5: Solve for x
    x = 1,183,552.68/1,421.06
  6. Step 6: Final answer
    x = 832.87

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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.