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Finding the Fourth Proportional to 1,428.42, 2,141.66 and 687.64

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Solution

The fourth proportional to 1,428.42, 2,141.66 and 687.64 is: 1,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.42 : 2,141.66 = 687.64 : x
  2. Step 2: Convert to fraction form
    1,428.42/2,141.66 = 687.64/x
  3. Step 3: Cross multiply
    1,428.42x = 2,141.66 × 687.64
  4. Step 4: Simplify right side
    1,428.42x = 1,472,691.08
  5. Step 5: Solve for x
    x = 1,472,691.08/1,428.42
  6. Step 6: Final answer
    x = 1,030.99

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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.