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Finding the Fourth Proportional to 993.75, 1,489.01 and 811.50

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Solution

The fourth proportional to 993.75, 1,489.01 and 811.50 is: 1,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.75 : 1,489.01 = 811.50 : x
  2. Step 2: Convert to fraction form
    993.75/1,489.01 = 811.50/x
  3. Step 3: Cross multiply
    993.75x = 1,489.01 × 811.50
  4. Step 4: Simplify right side
    993.75x = 1,208,327.56
  5. Step 5: Solve for x
    x = 1,208,327.56/993.75
  6. Step 6: Final answer
    x = 1,215.93

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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.