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Finding the Fourth Proportional to 1,064.37, 1,596.04 and 406.37

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Solution

The fourth proportional to 1,064.37, 1,596.04 and 406.37 is: 609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.37 : 1,596.04 = 406.37 : x
  2. Step 2: Convert to fraction form
    1,064.37/1,596.04 = 406.37/x
  3. Step 3: Cross multiply
    1,064.37x = 1,596.04 × 406.37
  4. Step 4: Simplify right side
    1,064.37x = 648,574.79
  5. Step 5: Solve for x
    x = 648,574.79/1,064.37
  6. Step 6: Final answer
    x = 609.35

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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.