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Finding the Fourth Proportional to 1,011.43, 1,517.64 and 646.93

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Solution

The fourth proportional to 1,011.43, 1,517.64 and 646.93 is: 970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.43 : 1,517.64 = 646.93 : x
  2. Step 2: Convert to fraction form
    1,011.43/1,517.64 = 646.93/x
  3. Step 3: Cross multiply
    1,011.43x = 1,517.64 × 646.93
  4. Step 4: Simplify right side
    1,011.43x = 981,806.85
  5. Step 5: Solve for x
    x = 981,806.85/1,011.43
  6. Step 6: Final answer
    x = 970.71

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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.