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Finding the Fourth Proportional to 697.96, 1,046.46 and 405.64

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Solution

The fourth proportional to 697.96, 1,046.46 and 405.64 is: 608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.96 : 1,046.46 = 405.64 : x
  2. Step 2: Convert to fraction form
    697.96/1,046.46 = 405.64/x
  3. Step 3: Cross multiply
    697.96x = 1,046.46 × 405.64
  4. Step 4: Simplify right side
    697.96x = 424,486.03
  5. Step 5: Solve for x
    x = 424,486.03/697.96
  6. Step 6: Final answer
    x = 608.18

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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.