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Finding the Fourth Proportional to 1,064, 1,594.46 and 756.47

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Solution

The fourth proportional to 1,064, 1,594.46 and 756.47 is: 1,133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064 : 1,594.46 = 756.47 : x
  2. Step 2: Convert to fraction form
    1,064/1,594.46 = 756.47/x
  3. Step 3: Cross multiply
    1,064x = 1,594.46 × 756.47
  4. Step 4: Simplify right side
    1,064x = 1,206,157.37
  5. Step 5: Solve for x
    x = 1,206,157.37/1,064
  6. Step 6: Final answer
    x = 1,133.61

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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.