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Finding the Fourth Proportional to 699.21, 1,046.19 and 468.69

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Solution

The fourth proportional to 699.21, 1,046.19 and 468.69 is: 701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.21 : 1,046.19 = 468.69 : x
  2. Step 2: Convert to fraction form
    699.21/1,046.19 = 468.69/x
  3. Step 3: Cross multiply
    699.21x = 1,046.19 × 468.69
  4. Step 4: Simplify right side
    699.21x = 490,338.79
  5. Step 5: Solve for x
    x = 490,338.79/699.21
  6. Step 6: Final answer
    x = 701.28

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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.