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Finding the Fourth Proportional to 1,156.65, 1,743.30 and 996.27

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Solution

The fourth proportional to 1,156.65, 1,743.30 and 996.27 is: 1,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.65 : 1,743.30 = 996.27 : x
  2. Step 2: Convert to fraction form
    1,156.65/1,743.30 = 996.27/x
  3. Step 3: Cross multiply
    1,156.65x = 1,743.30 × 996.27
  4. Step 4: Simplify right side
    1,156.65x = 1,736,797.49
  5. Step 5: Solve for x
    x = 1,736,797.49/1,156.65
  6. Step 6: Final answer
    x = 1,501.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.