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Finding the Fourth Proportional to 696.15, 1,043.53 and 285.39

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Solution

The fourth proportional to 696.15, 1,043.53 and 285.39 is: 427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.15 : 1,043.53 = 285.39 : x
  2. Step 2: Convert to fraction form
    696.15/1,043.53 = 285.39/x
  3. Step 3: Cross multiply
    696.15x = 1,043.53 × 285.39
  4. Step 4: Simplify right side
    696.15x = 297,812.31
  5. Step 5: Solve for x
    x = 297,812.31/696.15
  6. Step 6: Final answer
    x = 427.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.