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Finding the Fourth Proportional to 1,064.62, 1,597.12 and 406.47

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Solution

The fourth proportional to 1,064.62, 1,597.12 and 406.47 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.62 : 1,597.12 = 406.47 : x
  2. Step 2: Convert to fraction form
    1,064.62/1,597.12 = 406.47/x
  3. Step 3: Cross multiply
    1,064.62x = 1,597.12 × 406.47
  4. Step 4: Simplify right side
    1,064.62x = 649,181.37
  5. Step 5: Solve for x
    x = 649,181.37/1,064.62
  6. Step 6: Final answer
    x = 609.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.