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Finding the Fourth Proportional to 969, 1,449.86 and 602.07

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Solution

The fourth proportional to 969, 1,449.86 and 602.07 is: 900.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    969 : 1,449.86 = 602.07 : x
  2. Step 2: Convert to fraction form
    969/1,449.86 = 602.07/x
  3. Step 3: Cross multiply
    969x = 1,449.86 × 602.07
  4. Step 4: Simplify right side
    969x = 872,914.20
  5. Step 5: Solve for x
    x = 872,914.20/969
  6. Step 6: Final answer
    x = 900.84

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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.