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Finding the Fourth Proportional to 699.60, 1,049.62 and 288.77

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Solution

The fourth proportional to 699.60, 1,049.62 and 288.77 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.60 : 1,049.62 = 288.77 : x
  2. Step 2: Convert to fraction form
    699.60/1,049.62 = 288.77/x
  3. Step 3: Cross multiply
    699.60x = 1,049.62 × 288.77
  4. Step 4: Simplify right side
    699.60x = 303,101.75
  5. Step 5: Solve for x
    x = 303,101.75/699.60
  6. Step 6: Final answer
    x = 433.25

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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.