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Finding the Fourth Proportional to 1,428.71, 2,142.01 and 606.46

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Solution

The fourth proportional to 1,428.71, 2,142.01 and 606.46 is: 909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.71 : 2,142.01 = 606.46 : x
  2. Step 2: Convert to fraction form
    1,428.71/2,142.01 = 606.46/x
  3. Step 3: Cross multiply
    1,428.71x = 2,142.01 × 606.46
  4. Step 4: Simplify right side
    1,428.71x = 1,299,043.38
  5. Step 5: Solve for x
    x = 1,299,043.38/1,428.71
  6. Step 6: Final answer
    x = 909.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.