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Finding the Fourth Proportional to 699.32, 1,049.67 and 533.25

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Solution

The fourth proportional to 699.32, 1,049.67 and 533.25 is: 800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.32 : 1,049.67 = 533.25 : x
  2. Step 2: Convert to fraction form
    699.32/1,049.67 = 533.25/x
  3. Step 3: Cross multiply
    699.32x = 1,049.67 × 533.25
  4. Step 4: Simplify right side
    699.32x = 559,736.53
  5. Step 5: Solve for x
    x = 559,736.53/699.32
  6. Step 6: Final answer
    x = 800.40

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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.