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Finding the Fourth Proportional to 868.87, 1,303.44 and 406.63

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Solution

The fourth proportional to 868.87, 1,303.44 and 406.63 is: 610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.87 : 1,303.44 = 406.63 : x
  2. Step 2: Convert to fraction form
    868.87/1,303.44 = 406.63/x
  3. Step 3: Cross multiply
    868.87x = 1,303.44 × 406.63
  4. Step 4: Simplify right side
    868.87x = 530,017.81
  5. Step 5: Solve for x
    x = 530,017.81/868.87
  6. Step 6: Final answer
    x = 610.01

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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.