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Finding the Fourth Proportional to 1,420.88, 2,131.59 and 555.14

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Solution

The fourth proportional to 1,420.88, 2,131.59 and 555.14 is: 832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.88 : 2,131.59 = 555.14 : x
  2. Step 2: Convert to fraction form
    1,420.88/2,131.59 = 555.14/x
  3. Step 3: Cross multiply
    1,420.88x = 2,131.59 × 555.14
  4. Step 4: Simplify right side
    1,420.88x = 1,183,330.87
  5. Step 5: Solve for x
    x = 1,183,330.87/1,420.88
  6. Step 6: Final answer
    x = 832.82

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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.