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Finding the Fourth Proportional to 696.24, 1,043.44 and 285.15

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Solution

The fourth proportional to 696.24, 1,043.44 and 285.15 is: 427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 1,043.44 = 285.15 : x
  2. Step 2: Convert to fraction form
    696.24/1,043.44 = 285.15/x
  3. Step 3: Cross multiply
    696.24x = 1,043.44 × 285.15
  4. Step 4: Simplify right side
    696.24x = 297,535.02
  5. Step 5: Solve for x
    x = 297,535.02/696.24
  6. Step 6: Final answer
    x = 427.35

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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.