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Finding the Fourth Proportional to 697.25, 1,046.10 and 419.92

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Solution

The fourth proportional to 697.25, 1,046.10 and 419.92 is: 630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.25 : 1,046.10 = 419.92 : x
  2. Step 2: Convert to fraction form
    697.25/1,046.10 = 419.92/x
  3. Step 3: Cross multiply
    697.25x = 1,046.10 × 419.92
  4. Step 4: Simplify right side
    697.25x = 439,270.98
  5. Step 5: Solve for x
    x = 439,270.98/697.25
  6. Step 6: Final answer
    x = 630.00

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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.