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Finding the Fourth Proportional to 699.75, 1,050.20 and 597.69

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Solution

The fourth proportional to 699.75, 1,050.20 and 597.69 is: 897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.75 : 1,050.20 = 597.69 : x
  2. Step 2: Convert to fraction form
    699.75/1,050.20 = 597.69/x
  3. Step 3: Cross multiply
    699.75x = 1,050.20 × 597.69
  4. Step 4: Simplify right side
    699.75x = 627,691.05
  5. Step 5: Solve for x
    x = 627,691.05/699.75
  6. Step 6: Final answer
    x = 897.02

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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.