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Finding the Fourth Proportional to 1,428.07, 2,141.76 and 440.75

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Solution

The fourth proportional to 1,428.07, 2,141.76 and 440.75 is: 661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.07 : 2,141.76 = 440.75 : x
  2. Step 2: Convert to fraction form
    1,428.07/2,141.76 = 440.75/x
  3. Step 3: Cross multiply
    1,428.07x = 2,141.76 × 440.75
  4. Step 4: Simplify right side
    1,428.07x = 943,970.01
  5. Step 5: Solve for x
    x = 943,970.01/1,428.07
  6. Step 6: Final answer
    x = 661.01

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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.