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Finding the Fourth Proportional to 1,065.13, 1,597.44 and 406.87

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Solution

The fourth proportional to 1,065.13, 1,597.44 and 406.87 is: 610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.13 : 1,597.44 = 406.87 : x
  2. Step 2: Convert to fraction form
    1,065.13/1,597.44 = 406.87/x
  3. Step 3: Cross multiply
    1,065.13x = 1,597.44 × 406.87
  4. Step 4: Simplify right side
    1,065.13x = 649,950.41
  5. Step 5: Solve for x
    x = 649,950.41/1,065.13
  6. Step 6: Final answer
    x = 610.21

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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.