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Finding the Fourth Proportional to 1,064.57, 1,596.46 and 371.05

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Solution

The fourth proportional to 1,064.57, 1,596.46 and 371.05 is: 556.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.57 : 1,596.46 = 371.05 : x
  2. Step 2: Convert to fraction form
    1,064.57/1,596.46 = 371.05/x
  3. Step 3: Cross multiply
    1,064.57x = 1,596.46 × 371.05
  4. Step 4: Simplify right side
    1,064.57x = 592,357.57
  5. Step 5: Solve for x
    x = 592,357.57/1,064.57
  6. Step 6: Final answer
    x = 556.43

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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.