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Finding the Fourth Proportional to 1,428.24, 2,142.64 and 606.52

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Solution

The fourth proportional to 1,428.24, 2,142.64 and 606.52 is: 909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.24 : 2,142.64 = 606.52 : x
  2. Step 2: Convert to fraction form
    1,428.24/2,142.64 = 606.52/x
  3. Step 3: Cross multiply
    1,428.24x = 2,142.64 × 606.52
  4. Step 4: Simplify right side
    1,428.24x = 1,299,554.01
  5. Step 5: Solve for x
    x = 1,299,554.01/1,428.24
  6. Step 6: Final answer
    x = 909.90

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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.