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Finding the Fourth Proportional to 1,426.65, 2,141.12 and 646.71

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Solution

The fourth proportional to 1,426.65, 2,141.12 and 646.71 is: 970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.65 : 2,141.12 = 646.71 : x
  2. Step 2: Convert to fraction form
    1,426.65/2,141.12 = 646.71/x
  3. Step 3: Cross multiply
    1,426.65x = 2,141.12 × 646.71
  4. Step 4: Simplify right side
    1,426.65x = 1,384,680.48
  5. Step 5: Solve for x
    x = 1,384,680.48/1,426.65
  6. Step 6: Final answer
    x = 970.58

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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.