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Finding the Fourth Proportional to 1,064.92, 1,596.64 and 757.39

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Solution

The fourth proportional to 1,064.92, 1,596.64 and 757.39 is: 1,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.92 : 1,596.64 = 757.39 : x
  2. Step 2: Convert to fraction form
    1,064.92/1,596.64 = 757.39/x
  3. Step 3: Cross multiply
    1,064.92x = 1,596.64 × 757.39
  4. Step 4: Simplify right side
    1,064.92x = 1,209,275.38
  5. Step 5: Solve for x
    x = 1,209,275.38/1,064.92
  6. Step 6: Final answer
    x = 1,135.56

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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.